To extract the text that appears after a specific character, you supply the reference to the cell containing the source text for the first ( text) argument and the character in double quotes for the second ( delimiter) argument. WebIn MATLAB data are stored in column major format: 1 6 11 16 21 2 7 12 17 22 3 8 13 18 23 4 9 14 19 24 5 10 15 20 25 When you use the range 6:6:end it means that you want starting form element 6 with the step size 6 to extract elements so you want the elements [6 12 18 24]. (left as an exercise for the student ). new_l rev2023.3.1.43269. In this article youll learn how to extract particular pandas DataFrame columns by their index position in Python programming. The following python code is used to retrieve a range of columns in a 1-D array: Python3 import numpy as np arr1 = np.array ( [1, 2, 3, 4, 5, 6, 7, 8]) print("First two Anna "Annie" female, 23 1 Sloper, Mr. William Thompson male, 24 3 Palsson, Miss. How do I get the number of elements in a list (length of a list) in Python? To learn more, see our tips on writing great answers. How do I concatenate two lists in Python? What would happen if an airplane climbed beyond its preset cruise altitude that the pilot set in the pressurization system? Then I recommend watching the following video that I have published on my YouTube channel. Is lock-free synchronization always superior to synchronization using locks? Add files via upload.If were just working in PowerShell-land and we can choose to use simple CSV data we have the handy import-csv and export-csv cmdlets, and those CSV files To open the file for the operation, we can use the below command. Full Stack Development with React & Node JS(Live) Java Backend Development(Live) React JS (Basic to Advanced) JavaScript Foundation; Machine Learning and Data Science. I checked this method and the cost of retrieving column is way cheaper than nested for loops. How To Convert Column With String Type To Int Form In Pyspark. I am having a hard time creating the sublists, If you are happy with a list of tuples, you can use operator.itemgetter. How do I select specific rows and columns from a. Create a subset of a Python dataframe using the loc() function. how do I select the data from exist list and use them to build a new list? You can use one of the following methods to convert a column in a pandas DataFrame to a list: Method 1: Use tolist () df ['my_column'].tolist() Method 2: Use list () By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. how to extract a column from a matrix in python without using any package, Converting some columns of a matrix from float to int, How to first iterate columns and then rows. Only rows for which the value is True By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. Retrieve the current price of a ERC20 token from uniswap v2 router using web3js, The number of distinct words in a sentence, Am I being scammed after paying almost $10,000 to a tree company not being able to withdraw my profit without paying a fee, How to choose voltage value of capacitors, Change color of a paragraph containing aligned equations. DataFrame is 2-dimensional with both a row and column dimension. 542), How Intuit democratizes AI development across teams through reusability, We've added a "Necessary cookies only" option to the cookie consent popup. Python Foundation; JavaScript Foundation; Web Development. In order words, list out the common values present in each of the arrays. Turn Save Settings On (requires cookies) Time Zone List: All Time Zones. Introduction to Statistics is our premier online video course that teaches you all of the topics covered in introductory statistics. We can verify this An array whose nonzero or True entries indicate the elements How to Pretty Print an Entire Pandas Series or DataFrame? Copyright Statistics Globe Legal Notice & Privacy Policy, Example 1: Extract One pandas DataFrame Column by Index, Example 2: Extract Multiple pandas DataFrame Columns by Index, # Print DataFrame with multiple variables. col1 = [val[1] for val in array] Hosted by OVHcloud. by checking the type of the output: And have a look at the shape of the output: DataFrame.shape is an attribute (remember tutorial on reading and writing, do not use parentheses for attributes) of a Python script to extract data from Excel files. print(data_new1) # Print DataFrame with one variable. Find centralized, trusted content and collaborate around the technologies you use most. the loc operator in front of the selection brackets []. Why does Jesus turn to the Father to forgive in Luke 23:34? Edit: Note that while the example is specifically 3 tables with 2 rows and 3 columns each, my actual use case has unknown numbers of tables and rows. In this, we extract each range using list slicing and using loop iterate for each range and keep extending the extracting slices to extending list. If you want it to work for the first two, simply trade in the pair of variables, replacing with "star" expansion, such as, The *var makes sense. Select specific rows and/or columns using iloc when using the Is there a way to select all columns which included in that list, even if not all elements of the list are included in the dataframe? brackets []. Since column A is the first column, you can use the latter option via Again, a subset of both rows and columns is made in one go and just When selecting subsets of data, square brackets [] are used. What are some tools or methods I can purchase to trace a water leak? Strings may span multiple lines by escaping new line characters. selection brackets []. To select a single column, use square brackets [] with the column Main uses include adding interactive How can I explain to my manager that a project he wishes to undertake cannot be performed by the team? In the next step, we can use the iloc indexer and our list of indices to extract multiple variables from our pandas DataFrame: data_new2 = data.iloc[:, col_select] # Get multiple variables How can I add new array elements at the beginning of an array in JavaScript? Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. You could put Poete Maudit's answer into one line like so: column = np.array(list_name)[:,column_number].tolist() Selecting multiple columns in a Pandas dataframe. Can patents be featured/explained in a youtube video i.e. Full Stack Development with React & Node JS(Live) Java Backend Development(Live) React JS (Basic to Advanced) JavaScript Foundation; Machine Learning and Data Science. So you can't access the last column or row by index -1. The inner square brackets define a >>> A = np.array([[1,2,3,4],[5,6,7,8]]) Making statements based on opinion; back them up with references or personal experience. Looking at this more though, it appears it does something slightly different than what I'm looking for. will be selected. ['b', 3, 4], Furthermore, dont forget to subscribe to my email newsletter to receive updates on new articles. Python Foundation; JavaScript Foundation; Web Development. Took me 2 hours to discover [:,2] guess this feature not in official literature on slicing? If you are happy with a list of tuples, you can use operator.itemgetter import operator Separator field is always the same It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. Get contents of entire page using Selenium. >>> import numpy as np Here are some of the things I've tried unsuccessfully: And nested/unpacked assignment didn't work for me either: Is there a one-liner to do what I'm trying to do? We can create a DataFrame in Pandas from a Python dictionary, or by loading in a text file containing tabular data. A pattern with one group will return a DataFrame with one column By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Then you extract the first column like that: [row[0] for row in a] See the dedicated section in the user guide about boolean indexing or about the isin function. Not the answer you're looking for? This works fine if all elements of the list are in the dataframe. How to remove an element from a list by index. But what happens when you have serialised it, and you want to convert it back to a String?Python Split string by converting string to the list Using list() function; Python program to split string by space; Python program to split the string into an array of characters using for loop. This indexing scheme can be extended to ND arrays and non square matrices. spaces, etc. WebThe plain text letter is placed at the top of the column where the user can find the cipher text letter. Remove all columns where the entire column is null in PySpark DataFrame. Not the answer you're looking for? To subscribe to this RSS feed, copy and paste this URL into your RSS reader. Note that for extremely large DataFrames, the tolist() method tends to perform the fastest. We can confirm that the result is a list by using the, Note that for extremely large DataFrames, the, How to Calculate Conditional Mean in Pandas (With Examples), How to Clear All Plots in RStudio (With Example). The following python code is used to retrieve a range of columns in a 1-D array: Multi-Dimensional Array is a sequence of rows stacked together to form a matrix. columns: (nrows, ncolumns). A DataFrame with one row for each subject string, and one And now you can do element wise calculations much like you would do in excel. How To Convert Column With String Type To Int Form In Pyspark. org. How can I randomly select an item from a list? © 2023 pandas via NumFOCUS, Inc. It is referred by the dimensions [r x c] , where r is the number of rows and c is the number of columns. Why is the article "the" used in "He invented THE slide rule"? want to select. The titles given to the columns of the table are known as captions. I'm not sure what you're looking at, but my desired output is the one with [7,10] as the second pair. If we leave the end index blank, it prints the columns or rows till the length of the matrix. Hosted by OVHcloud. I hate spam & you may opt out anytime: Privacy Policy. If you accept this notice, your choice will be saved and the page will refresh. WebA DataFrame with one row for each subject string, and one column for each group. You could have told us what you tried, at least in pseudocode (hence the -1). Take a look at the excellent csv module. Each column in a DataFrame is a Series. >>> A[:,2] # returns the third colum PySpark Column's cast (~) method returns a new Column of the specified type. Constructing pandas DataFrame from values in variables gives "ValueError: If using all scalar values, you must pass an index", Is email scraping still a thing for spammers, Am I being scammed after paying almost $10,000 to a tree company not being able to withdraw my profit without paying a fee. having the matrix named matrix_a and use column_number, for example: All columns from a matrix into a new list: Thanks for contributing an answer to Stack Overflow! array([[1, 2, 3, 4], document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); Statology is a site that makes learning statistics easy by explaining topics in simple and straightforward ways. What is behind Duke's ear when he looks back at Paul right before applying seal to accept emperor's request to rule? of column/row labels, a slice of labels, a conditional expression or If it does work, could you show with an example here? Column [source] Casts the column into type dataType. For more, see the documentation for filter. Inside these brackets, you can use a single column/row label, a list the number of rows is returned. inside the selection brackets []. Given a list, and a list of tuples with ranges, extract all elements in those ranges from list. The second one has tuples instead of lists at the middle level; is that okay? We know from before that the original Titanic DataFrame consists of Just use transpose(), then you can get the columns as easy as you get rows. Was Galileo expecting to see so many stars? Why does the Angel of the Lord say: you have not withheld your son from me in Genesis? I hate spam & you may opt out anytime: Privacy Policy. WebIf condition is boolean np.extract is equivalent to arr [condition]. So what I do is, read the record, put it in a variable, then read the 27th column, parse it and at last, append the read record + parsed values. array = [[1,2,3,4],[5,6,7,8],[9,10,11,12],[13,14,15,16]] How is "He who Remains" different from "Kang the Conqueror"? rev2023.3.1.43269. How to properly visualize the change of variance of a bivariate Gaussian distribution cut sliced along a fixed variable? To learn more, see our tips on writing great answers. Given a list of elements, and percent ranges, the task is to write a python program to extract all the elements whose frequency is present Similar to the conditional expression, the isin() conditional function For more details, see re. I also used that "star" notation to help show how to extend the concept. Do German ministers decide themselves how to vote in EU decisions or do they have to follow a government line? consists of the following data columns: Survived: Indication whether passenger survived. Here is some sample data which While this helped me a lot, I think the answer can be much shorter: 1. column for each group. Elizabeth female, 12 3 Saundercock, Mr. William Henry male, 13 3 Andersson, Mr. Anders Johan male. rows as the original DataFrame. The following examples should illustrate the functionality. As such, this can be combined with the The above is equivalent to filtering by rows for which the class is Complete Data Science Program(Live) Mastering Data Analytics; School Courses. either 2 or 3 and combining the two statements with an | (or) The condition inside the selection cast (dataType: Union [pyspark. Asking for help, clarification, or responding to other answers. DataFrame above_35: Im interested in the Titanic passengers from cabin class 2 and 3. Select specific rows and/or columns using loc when using the row Note: Material Code can also be in the Parent Part Code column. If you have additional questions, tell me about it in the comments section. returns a True for each row the values are in the provided list. Is there a way to only permit open-source mods for my video game to stop plagiarism or at least enforce proper attribution? 542), How Intuit democratizes AI development across teams through reusability, We've added a "Necessary cookies only" option to the cookie consent popup. Write a Python program to extract a specified column from a given nested list. example: i think it is tensorflow, @KevinWMatthews. Extracting directly some columns from a python list of lists is not possible because exactly python does not perceive this list as an array (which How to extract the coefficients from a long exponential expression? Python Convert String To Datetime tutorial deals with how to convert string datetime into datetime object in python. How can I randomly select an item from a list? brackets titanic["Age"] > 35 checks for which rows the Age WebMethod 1: Using flatMap This method takes the selected column as the input which uses rdd and converts it into the list. new values can be assigned to the selected data. can be used to filter the DataFrame by putting it in between the How to Retrieve Blob Datatype from Postgres with Python, Retrieve Image and File stored as a BLOB from MySQL Table using Python. A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. How can I recognize one? Im interested in the names of the passengers older than 35 years. Find centralized, trusted content and collaborate around the technologies you use most. Thanks for contributing an answer to Stack Overflow! Use of ternary operator for conditional assignment: Write a Python program to remove a specified column from a given nested list. I prefer filter because it is simple while also giving you more options for selecting columns than a simple intersection. How do I split a list into equally-sized chunks? To subscribe to this RSS feed, copy and paste this URL into your RSS reader. I did not downvote btw, altho if it doesn't actually work, it probably should be downvoted (but hopefully you can fix or clarify). Since, this array contains a single row, printing the array is equivalent to printing the first row. To learn more, see our tips on writing great answers. How can I remove a specific item from an array in JavaScript? As a single column is selected, the I think you want to extract a column from an array such as an array below. PANDAS Index specific columns corresponds to strings in a list, Difference between @staticmethod and @classmethod. For each subject string in the Series, extract groups from the Acceleration without force in rotational motion? You got close with that last attempt. When which rows the Pclass column is either 2 or 3. x3). The first row is the name of column and then we have data associated to these columns. If you are working with csv files, you don't need to reinvent the wheel. Each column in a DataFrame is a Series. re.IGNORECASE, that Thanks for contributing an answer to Stack Overflow! a = [[1,2,3,4], [5,6,7,8], [9,10,11,12],[13,14,15,16]] One way to verify is to check if the shape has changed: For more dedicated functions on missing values, see the user guide section about handling missing data. values are not a Null value. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. cast (dataType: Union [pyspark. Does Python have a ternary conditional operator? A = np.array([[1,2,3,4],[5,6,7,8],[9,10,11,12]]) 2. The indexing of the rows and columns start from 0. Is variance swap long volatility of volatility? The dtype of each result Remember, a filter the rows based on such a function, use the conditional function Regular expression pattern with capturing groups. Note: Material Code can also be in the Parent Part Code column. The following tutorials explain how to perform other common functions with columns of a pandas DataFrame: How to Drop Columns in Pandas Borrowing the sample data from @jezrael, you could type either of the following. Column [source] Casts the column into type dataType. I need to add a key named days-idle with a value to each object that is calculated inside my bash script. And, get all that matches a given 'p. Note: This is not working for built-in array and not aligned (e.g. the selection brackets []. Dealing with hard questions during a software developer interview. +1, The open-source game engine youve been waiting for: Godot (Ep. Python Average Function Hackerrank Solution - CopyAssignment. How to react to a students panic attack in an oral exam? specifically interested in certain rows and/or columns based on their It contains a single row of elements, each of them falling into different columns. pandas.Series.cat.remove_unused_categories. Method #1 : Using list slicing and list comprehension The functionality of list slicing and comprehension can be clubbed to perform the particular task of extracting a >>> print newList You could also keep it as a nu Making statements based on opinion; back them up with references or personal experience. What is the difficulty level of this exercise? Each array elements have it's own index where array index starts from 0. With a single table, I can extract the columns with: >>>input= [ [1,2,3], [4,5,6]] >>>list (zip (*input)) [ (1, 4), (2, 5), (3, 6)] or for assignment: >>>a,b,_=zip Is lock-free synchronization always superior to synchronization using locks? WebTo select a single column, use square brackets [] with the column name of the column of interest. Applying this to my original input I get: [[[1, 4], [2, 5], [3, 6]], [[7, 10], [8, 11], [9, 12]], [[13, 16], [14, 17], [15, 18]]]. Connect and share knowledge within a single location that is structured and easy to search. Any capture group names in regular expression pat will be used for column names; otherwise Partner is not responding when their writing is needed in European project application. WebThe plain text letter is placed at the top of the column where the user can find the cipher text letter. How do I make a flat list out of a list of lists? But if some elements of the list are not in the DataFrame, then it will generate the error "not in index". OP never said it's a numpy array, for extract 2 columns: A[:,[1,3]] for example extract second and fourth column. A Computer Science portal for geeks. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide. Extract capture groups in the regex pat as columns in a DataFrame. Can be supplied in the form of a string or cell reference. WebLet's say. How do I make a flat list out of a list of lists? If you need negative indexing you can tune the accessor-functions a bit, e.g. print get_col(a, 3) By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. How to create new columns derived from existing columns? When and how was it discovered that Jupiter and Saturn are made out of gas? list1 = [0,2] Torborg Danira female. 'x3':range(36, 31, - 1), WebNumber of occurrences of substring : 4. Im interested in the age of the Titanic passengers. PySpark Column's cast (~) method returns a new Column of the specified type. just using selection brackets [] is not sufficient anymore. I'm selecting several columns of a dataframe, by a list of the column names. Im interested in rows 10 till 25 and columns 3 to 5. position in the table, use the iloc operator in front of the The following examples should illustrate the functionality. Asking for help, clarification, or responding to other answers. Given columns [0, 2] in, loved the explanatory introduction to your answer, well done! , WebNumber of occurrences of substring: 4 for the student ) ], extract column from list python 9,10,11,12 ] ] 2... Pandas DataFrame columns by their index position in Python and how was it discovered that Jupiter and Saturn are out. Of substring: 4 show how to extend the concept can use operator.itemgetter Jupiter. The sublists, if you accept this notice, your choice will be saved and the will. All elements of the column where the user can find the cipher text.... To extract a specified column from an array in JavaScript variance of a dictionary. List by index -1 you accept this notice, your choice will be saved the., use square brackets [ ] is not working for built-in array and aligned.,2 ] guess this feature not in index '', or responding to other answers tune the accessor-functions bit! They have to follow a government line Entire pandas Series or DataFrame own index array. ] Hosted by OVHcloud of a list of the column names follow a government line emperor 's request to?... To Stack Overflow all columns where the user can find the cipher text letter user can the! More options for selecting columns than a simple intersection simple intersection Hosted by OVHcloud published on YouTube! Checked this method and the page will refresh remove an element from a with ranges extract. Columns than a simple intersection what is behind Duke 's ear when He looks back at right! Value to each object that is calculated inside my bash script @ KevinWMatthews then I recommend watching the following that. Column name of column and then we have data associated to these.... [:,2 ] guess this feature not in official literature on?. Element from a given nested list with string type to Int Form in Pyspark.... A = np.array ( [ [ 1,2,3,4 ], [ 5,6,7,8 ], [ 5,6,7,8,... A list ( length of the column where the Entire column is null in Pyspark DataFrame ( data_new1 extract column from list python Print! List out the common values present in each of the following video that I have published on my YouTube.. Andersson, Mr. William Henry male, 13 3 Andersson, Mr. Anders Johan male Print data_new1! Lists at the middle level ; is that okay string or cell reference topics covered in Statistics... Because it is simple while also giving you more options for selecting columns than a simple.! With hard questions during a software developer interview 9th Floor, Sovereign Corporate Tower we... Will generate the error `` not in index '' the concept with the column of interest a simple.... What is behind Duke 's ear when He looks back at Paul right before applying seal to accept emperor request... Column name of column and then we have data associated to these columns characters! Open-Source game engine youve been waiting for: Godot ( Ep how can randomly... Licensed under CC BY-SA force in rotational motion force in rotational motion ] Casts the into! In official literature on slicing Survived: Indication whether passenger Survived datetime object in Python or by in! - 1 ), WebNumber of occurrences of substring: 4 notice, your choice will be saved the... You can tune the accessor-functions a bit, e.g technologists share private with! 0, 2 ] in, loved the explanatory introduction to Statistics is our premier online course... Tuples with ranges, extract all elements in those ranges from list &... Extend the concept inside these brackets, you can use operator.itemgetter the last column or by... Elizabeth female, 12 3 Saundercock, Mr. William Henry male, 13 3 Andersson, Mr. Henry... Series or DataFrame if all elements of the following video that I have published on my YouTube channel row values! A specified column from a given nested list dictionary, or responding other! 1 ), WebNumber of occurrences of substring: 4 the I think it tensorflow. Working for built-in array and not aligned ( e.g you have not withheld your son from me in?. 'X3 ': range ( 36, 31, - 1 ), WebNumber occurrences!, then it will generate the error `` not in official literature slicing. Given to the selected data an answer to Stack Overflow @ classmethod have... I get the number of rows is returned notation to help show how to extend the concept loc ( method! ( ) function then I recommend watching the following data columns: Survived Indication... A way to only permit open-source mods for my video game to stop plagiarism or at least enforce attribution. Between @ staticmethod and @ classmethod covered in introductory Statistics flat list out the common values present each! With hard questions during a software developer interview instead of lists row and column dimension column an. Existing columns ministers decide themselves how to Convert string to datetime tutorial deals with to... The Father to forgive in Luke 23:34 Tower, we use cookies ensure! Force in rotational motion pilot set in the age of the matrix may! Was it discovered that Jupiter and Saturn are made out of a list of lists questions! The Entire column is either 2 or 3. x3 ) the I it! Array such as an exercise for the student ) `` the '' in... Gaussian distribution cut sliced along a fixed variable by OVHcloud distribution cut sliced a. From the Acceleration without force in rotational motion questions during a software developer interview Convert string into. Acceleration without force in rotational motion Code can also be in the Parent Part Code column well. You want to extract a specified column from an array in JavaScript use operator.itemgetter object in Python from columns. That teaches you all of the rows and columns start from 0 of tuples, you can tune the a! Least enforce proper attribution a given nested list synchronization using locks have it 's own index where index! In JavaScript in introductory Statistics the end index blank, it prints the columns or rows the. 2 and 3 what is behind Duke 's ear when He looks back at Paul right before applying seal accept. Python program to remove a specific item from an array in JavaScript to you... All elements in a list by index -1 span multiple lines by escaping new line characters if... Position in Python programming Settings on ( requires cookies ) Time Zone list: all Time.. Ranges, extract all elements in those ranges from list `` star notation! N'T access the last column or row by index list out the common values present in each of the where! Premier online video course that teaches you all of the Lord say: you have the browsing. Calculated inside my bash script the open-source game engine youve been waiting for: Godot ( Ep has instead... Specified column from an array in JavaScript a True for each subject string, and a list nonzero True. 2 hours to discover [:,2 ] guess this feature not in ''. You have not withheld your son from me in Genesis type dataType a hard Time creating the,... List are in the Series, extract all elements of the topics in. Applying seal to accept emperor 's request to rule collaborate around the technologies you use most game stop... Because it is tensorflow, @ KevinWMatthews list: all Time Zones you have the browsing... The tolist ( ) method tends to perform the fastest extract all elements of the table are as... Is way cheaper than nested for loops use cookies to ensure you have the best browsing experience on our.! For built-in array and not aligned ( e.g a way to only permit open-source mods for my video to. A list of the topics covered in introductory Statistics are not in official literature on slicing have. 12 3 Saundercock, Mr. Anders Johan male ranges from list sufficient anymore this URL into your reader. Each row the values are in the DataFrame 1 ), WebNumber of occurrences of substring: 4 specified... At least in pseudocode ( hence the -1 ) the student ) need to the... Following video that I have published on my YouTube channel a government line to ensure you not! Hate spam & you may opt out anytime: Privacy Policy the -1 ) looking at this though! Values present in each of the arrays Paul right before applying seal accept! The number of rows is returned, WebNumber of occurrences of substring:.! This RSS feed, copy and paste this URL into your RSS reader for val in array Hosted... Index specific columns corresponds to strings in a YouTube video i.e browsing experience on website! A students panic attack in an oral exam string type to Int Form in Pyspark method! To only permit open-source mods for my video game to stop plagiarism or at in! Using loc when using the loc ( ) method returns a True for each row the are... Rows and columns start from 0 the -1 ) my video game to stop plagiarism or at least proper... Dictionary, or responding to other answers you could have told us what tried. Convert column with string type to Int Form in Pyspark strings in a list equally-sized! Ranges, extract all elements in those ranges from list flat list out of a list of. Select a single row, printing the array is equivalent to arr [ condition ] values are in the passengers! End index blank, it prints the columns of a bivariate Gaussian distribution cut sliced along a fixed variable index! Do I make a flat list out the common values present in each of the matrix is calculated my!