{"id":20763,"date":"2022-06-13T09:00:29","date_gmt":"2022-06-13T03:30:29","guid":{"rendered":"https:\/\/btechgeeks.com\/?p=20763"},"modified":"2022-06-15T11:15:04","modified_gmt":"2022-06-15T05:45:04","slug":"python-program-for-squares-of-matrix-diagonal-elements","status":"publish","type":"post","link":"https:\/\/btechgeeks.com\/python-program-for-squares-of-matrix-diagonal-elements\/","title":{"rendered":"Python Program for Squares of Matrix Diagonal Elements"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/btechgeeks.com\/python-program-to-swap-major-and-minor-diagonals-of-a-square-matrix\/\">Python Program to Swap Major and Minor Diagonals of a Square Matrix<\/a><\/p>\n<p>Given a matrix and the task is to find the squares of all diagonal elements of a given matrix in python.<\/p>\n<p><strong>What is a matrix:<\/strong><\/p>\n<p>A matrix is a rectangular sequence of numbers divided into columns and rows. A matrix element or entry is a number that appears in a matrix.<\/p>\n<p><strong>Diagonal Matrix:<\/strong><\/p>\n<p>The entries outside the main diagonal of a diagonal matrix are all 0; the word usually refers to square matrices.<\/p>\n<p><strong>Example:<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-7021 aligncenter\" src=\"https:\/\/btechgeeks.com\/wp-content\/uploads\/2021\/05\/matrix.jpg\" alt=\"\" width=\"561\" height=\"426\" srcset=\"https:\/\/btechgeeks.com\/wp-content\/uploads\/2021\/05\/matrix.jpg 561w, https:\/\/btechgeeks.com\/wp-content\/uploads\/2021\/05\/matrix-300x228.jpg 300w\" sizes=\"(max-width: 561px) 100vw, 561px\" \/><\/p>\n<p>Above is the matrix which contains 5 rows and 4 columns and having elements from 1 to 20.<\/p>\n<p>In this order, the dimensions of a matrix indicate the number of rows and columns.<\/p>\n<p>Here as there are 5 rows and 4 columns it is called a 5*4 matrix.<\/p>\n<ul>\n<li><a href=\"https:\/\/btechgeeks.com\/python-program-to-swap-major-and-minor-diagonals-of-a-square-matrix\/\">Python Program to Swap Major and Minor Diagonals of a Square Matrix<\/a><\/li>\n<li><a href=\"https:\/\/btechgeeks.com\/c-program-to-swap-major-and-minor-diagonals-of-a-matrix\/\">C Program to Swap Major and Minor Diagonals of a Matrix<\/a><\/li>\n<li><a href=\"https:\/\/btechgeeks.com\/python-program-for-multiplication-of-two-matrices\/\">Python Program for Multiplication of Two Matrices | How do you do Matrix Multiplication in Python?<\/a><\/li>\n<\/ul>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Matrix : \r\n1  5  4\r\n2  3  6\r\n4  2  1<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The squares of diagonal elements of first diagonal:\r\n1\r\n9\r\n1\r\nThe squares of diagonal elements of second diagonal:\r\n16\r\n9\r\n16<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Matrix :\r\n 3  8\r\n 2  6<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The squares of diagonal elements of first diagonal:\r\n9\r\n36\r\nThe squares of diagonal elements of second diagonal:\r\n64\r\n4<\/pre>\n<h2>Program for Squares of Matrix Diagonal Elements in Python<\/h2>\n<p>Below are the ways to find the squares of all diagonal elements of a given matrix in python.<\/p>\n<ul>\n<li><a href=\"#Using_For_Loop_(Static_Input)\">Using For Loop (Static Input)<\/a><\/li>\n<li><a href=\"#Using_For_loop_(User_Input)\">Using For loop (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_For_Loop_(Static_Input)\">Method #1: Using For Loop (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the matrix as static input and store it in a variable.<\/li>\n<li>Calculate the number of rows of the given matrix by calculating the length of the nested list using the len() function and store it in a variable mtrxrows.<\/li>\n<li>Calculate the number of columns of the given matrix by calculating the length of the first list in the nested list using the len() function and store it in a variable mtrxcolums.<\/li>\n<li>Loop till the given number of rows using the For loop.<\/li>\n<li>Inside the For loop, Iterate till the given number of columns using another Nested For loop(Inner For loop).<\/li>\n<li>Check if the condition <strong>n<\/strong> is equal to <strong>m<\/strong> using the if conditional statement where n is the iterator value of the parent For loop and m is the iterator value of the\u00a0inner For loop.<\/li>\n<li>If the statement is true, then print the square of the gvnmatrix[n][m].<\/li>\n<li>Loop till the given number of rows using the For loop.<\/li>\n<li>Inside the For loop, Iterate till the given number of columns using another Nested For loop(Inner For loop).<\/li>\n<li>Check if the condition n+m is equal to the mtrxrows-1 using the if conditional statement where n is the iterator value of the parent For loop and m is the iterator value of the inner For loop.<\/li>\n<li>If the statement is true, then print the square of the gvnmatrix[n][m].<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Give the matrix as static input and store it in a variable.\r\nmtrx = [[1, 5, 4], [2, 3, 6], [4, 2, 1]]\r\n# Calculate the number of rows of the given matrix by\r\n# calculating the length of the nested list using the len() function\r\n# and store it in a variable mtrxrows.\r\nmtrxrows = len(mtrx)\r\n# Calculate the number of columns of the given matrix by\r\n# calculating the length of the first list in the nested list\r\n# using the len() function and store it in a variable mtrxcols.\r\nmtrxcols = len(mtrx[0])\r\nprint(\"The squares of diagonal elements of first diagonal:\")\r\n# Loop till the given number of rows using the For loop.\r\nfor n in range(mtrxrows):\r\n        # Inside the For loop, Iterate till the given number of columns using another\r\n        # Nested For loop(Inner For loop).\r\n    for m in range(mtrxcols):\r\n      # Check if the condition n is equal to m using the if conditional statement where n\r\n      # is the iterator value of the parent For loop and m is the iterator value of the\r\n      # inner For loop.\r\n        if (n == m):\r\n          # If the statement is true, then print the square of the gvnmatrix[n][m]\r\n            print(mtrx[n][m]**2)\r\n\r\n# Loop till the given number of rows using the For loop.\r\nprint(\"The squares of diagonal elements of second diagonal:\")\r\nfor n in range(mtrxrows):\r\n        # Inside the For loop, Iterate till the given number of columns using another\r\n        # Nested For loop(Inner For loop).\r\n    for m in range(mtrxcols):\r\n      # Check if the condition n+m is equal to the mtrxrows-1 using the if conditional\r\n      # statement where n is the iterator value of the parent For loop and\r\n      # m is the iterator value of the inner For loop.\r\n\r\n        if (n+m == mtrxrows-1):\r\n           # If the statement is true, then print the square of the gvnmatrix[n][m]\r\n            print(mtrx[n][m]**2)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The squares of diagonal elements of first diagonal:\r\n1\r\n9\r\n1\r\nThe squares of diagonal elements of second diagonal:\r\n16\r\n9\r\n16<\/pre>\n<h3 id=\"Using_For_loop_(User_Input)\">Method #2: Using For loop (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number of rows of the matrix as user input using the int(input()) function and store it in a variable.<\/li>\n<li>Give the number of columns of the matrix as user input using the int(input()) function and store it in another variable.<\/li>\n<li>Take a list and initialize it with an empty value using [] or list() to say\u00a0<strong>gvnmatrix<\/strong>.<\/li>\n<li>Loop till the given number of rows using the For loop<\/li>\n<li>Inside the For loop, Give all the row elements of the given Matrix as a list using the list(),map(),int(),split() functions and store it in a variable.<\/li>\n<li>Add the above row elements list to\u00a0<strong>gvnmatrix<\/strong>\u00a0using the append() function.<\/li>\n<li>Loop till the given number of rows using the For loop.<\/li>\n<li>Inside the For loop, Iterate till the given number of columns using another Nested For loop(Inner For loop).<\/li>\n<li>Check if the condition <strong>n<\/strong> is equal to <strong>m<\/strong> using the if conditional statement where n is the iterator value of the parent For loop and m is the iterator value of the\u00a0inner For loop.<\/li>\n<li>If the statement is true, then print the square of the gvnmatrix[n][m].<\/li>\n<li>Loop till the given number of rows using the For loop.<\/li>\n<li>Inside the For loop, Iterate till the given number of columns using another Nested For loop(Inner For loop).<\/li>\n<li>Check if the condition n+m is equal to the mtrxrows-1 using the if conditional statement where n is the iterator value of the parent For loop and m is the iterator value of the inner For loop.<\/li>\n<li>If the statement is true, then print the square of the gvnmatrix[n][m].<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Give the number of rows of the matrix as user input using the int(input()) function\r\n# and store it in a variable.\r\nmtrxrows = int(input('Enter some random number of rows of the matrix = '))\r\n# Give the number of columns of the matrix as user input using the int(input()) function\r\n# and store it in another variable.\r\nmtrxcols = int(input('Enter some random number of columns of the matrix = '))\r\n# Take a list and initialize it with an empty value using [] or list() to say gvnmatrix.\r\nmtrx = []\r\n# Loop till the given number of rows using the For loop\r\nfor n in range(mtrxrows):\r\n    # Inside the For loop, Give all the row elements of the given Matrix as a list using\r\n    # the list(),map(),int(),split() functions and store it in a variable.\r\n    l = list(map(int, input(\r\n        'Enter {'+str(mtrxcols)+'} elements of row {'+str(n+1)+'} separated by spaces = ').split()))\r\n    # Add the above row elements list to gvnmatrix using the append() function.\r\n    mtrx.append(l)\r\n\r\n\r\nprint(\"The squares of diagonal elements of first diagonal:\")\r\n# Loop till the given number of rows using the For loop.\r\nfor n in range(mtrxrows):\r\n        # Inside the For loop, Iterate till the given number of columns using another\r\n        # Nested For loop(Inner For loop).\r\n    for m in range(mtrxcols):\r\n      # Check if the condition n is equal to m using the if conditional statement where n\r\n      # is the iterator value of the parent For loop and m is the iterator value of the\r\n      # inner For loop.\r\n        if (n == m):\r\n          # If the statement is true, then print the square of the gvnmatrix[n][m]\r\n            print(mtrx[n][m]**2)\r\n\r\n# Loop till the given number of rows using the For loop.\r\nprint(\"The squares of diagonal elements of second diagonal:\")\r\nfor n in range(mtrxrows):\r\n        # Inside the For loop, Iterate till the given number of columns using another\r\n        # Nested For loop(Inner For loop).\r\n    for m in range(mtrxcols):\r\n      # Check if the condition n+m is equal to the mtrxrows-1 using the if conditional\r\n      # statement where n is the iterator value of the parent For loop and\r\n      # m is the iterator value of the inner For loop.\r\n\r\n        if (n+m == mtrxrows-1):\r\n           # If the statement is true, then print the square of the gvnmatrix[n][m]\r\n            print(mtrx[n][m]**2)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number of rows of the matrix = 2\r\nEnter some random number of columns of the matrix = 2\r\nEnter {2} elements of row {1} separated by spaces = 3 8\r\nEnter {2} elements of row {2} separated by spaces = 2 6\r\nThe squares of diagonal elements of first diagonal:\r\n9\r\n36\r\nThe squares of diagonal elements of second diagonal:\r\n64\r\n4<\/pre>\n<p>Dive into numerous <a href=\"https:\/\/btechgeeks.com\/python-programming-examples-with-output\/\">Python Programming Language Examples<\/a> for practice and get the best out of the tutorial and learn python one step at a time.<\/p>\n<ul>\n<li><a href=\"https:\/\/btechgeeks.com\/python-program-to-check-diagonally-dominant-matrix\/\">Python Program to Check Diagonally Dominant Matrix<\/a><\/li>\n<li><a href=\"https:\/\/btechgeeks.com\/python-program-for-frequencies-of-even-and-odd-numbers-in-a-matrix\/\">Python Program for Frequencies of Even and Odd Numbers in a Matrix<\/a><\/li>\n<li><a href=\"https:\/\/btechgeeks.com\/python-program-to-swap-upper-diagonal-elements-with-lower-diagonal-elements-of-matrix\/\">Python Program to Swap Upper Diagonal Elements with Lower Diagonal Elements of Matrix.<\/a><\/li>\n<li><a href=\"https:\/\/btechgeeks.com\/python-program-to-swap-major-and-minor-diagonals-of-a-square-matrix\/\">Python Program to Swap Major and Minor Diagonals of a Square Matrix<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed Python Program to Swap Major and Minor Diagonals of a Square Matrix Given a matrix and the task is to find the squares of all diagonal elements of a given matrix in python. 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What is a matrix: A matrix is a rectangular sequence of numbers divided into columns ... 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