{"id":20141,"date":"2021-09-06T13:37:48","date_gmt":"2021-09-06T08:07:48","guid":{"rendered":"https:\/\/python-programs.com\/?p=20141"},"modified":"2021-11-22T18:36:27","modified_gmt":"2021-11-22T13:06:27","slug":"python-program-to-check-whether-a-matrix-is-diagonal-or-not","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-check-whether-a-matrix-is-diagonal-or-not\/","title":{"rendered":"Python Program to Check Whether a Matrix is Diagonal or Not"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-to-find-square-of-a-matrix\/\">Python Program to Find Square of a Matrix<\/a><\/p>\n<p>Given a matrix and the task is to check if the given matrix is diagonal or not 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:\/\/python-programs.com\/wp-content\/uploads\/2021\/05\/matrix.jpg\" alt=\"\" width=\"561\" height=\"426\" srcset=\"https:\/\/python-programs.com\/wp-content\/uploads\/2021\/05\/matrix.jpg 561w, https:\/\/python-programs.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<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Matrix : \r\n3 0 0\r\n0 1 0\r\n0 0 2<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The Matrix given is a diagonal Matrix.<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Matrix : \r\n1 2 3 \r\n6 5 4 \r\n7 8 9<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The Matrix given is not a diagonal Matrix.<\/pre>\n<h2>Program to Check Whether a Matrix is Diagonal or Not in Python<\/h2>\n<p>Below are the ways to check if the given matrix is diagonal or not 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>Take a variable say <strong>tempo<\/strong> and initialize its value to zero.<\/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 is not equal to m and gvnmatrix[n][m] not equal to 0 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 make the value of\u00a0<strong>tempo <\/strong>as 1.<\/li>\n<li>Break the statement and come out of the loop.<\/li>\n<li>Check if the value of <strong>tempo<\/strong> is equal to 1 using the if conditional statement.<\/li>\n<li>If the statement is true, then print &#8220;The Matrix given is not a diagonal Matrix.&#8221;<\/li>\n<li>Else print &#8220;The Matrix given is a diagonal Matrix.&#8221;<\/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 = [[3, 0, 0], [0, 1, 0], [0, 0, 2]]\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\n# Take a variable and initialize its value to zero.\r\ntempo = 0\r\n# To print all the elements of the given matrix.\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 not equal to m and gvnmatrix[n][m] not equal to 0 using the\r\n        # if conditional statement where n is the iterator value of the parent For loop and m\r\n        # is the iterator value of the inner For loop.\r\n        if n != m and mtrx[n][m] != 0:\r\n           # If the statement is true, then make the value of\u00a0tempo as 1.\r\n            tempo = 1\r\n       # Break the statement and come out of the loop.\r\n            break\r\n# Check if the value of tempo is equal to 1 using the if conditional statement.\r\nif tempo == 1:\r\n  # If the statement is true, then print \"The Matrix given is not a diagonal Matrix.\"\r\n    print(\"The Matrix given is not a diagonal Matrix.\")\r\nelse:\r\n  # Else print \"The Matrix given is a diagonal Matrix.\"\r\n    print(\"The Matrix given is a diagonal Matrix.\")\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The Matrix given is a diagonal Matrix.<\/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>Take a variable say <strong>tempo<\/strong> and initialize its value to zero.<\/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 is not equal to m and gvnmatrix[n][m] not equal to 0 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 make the value of\u00a0<strong>tempo <\/strong>as 1.<\/li>\n<li>Break the statement and come out of the loop.<\/li>\n<li>Check if the value of <strong>tempo<\/strong> is equal to 1 using the if conditional statement.<\/li>\n<li>If the statement is true, then print &#8220;The Matrix given is not a diagonal Matrix.&#8221;<\/li>\n<li>Else print &#8220;The Matrix given is a diagonal Matrix.&#8221;<\/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\r\n    mtrx.append(l)\r\n    \r\n# Take a variable say tempo and initialize its value to zero.\r\ntempo = 0\r\n# To print all the elements of the given matrix.\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 not equal to m and gvnmatrix[n][m] not equal to 0 using the\r\n        # if conditional statement where n is the iterator value of the parent For loop and m\r\n        # is the iterator value of the inner For loop.\r\n        if n != m and mtrx[n][m] != 0:\r\n           # If the statement is true, then make the value of\u00a0tempo as 1.\r\n            tempo = 1\r\n       # Break the statement and come out of the loop.\r\n            break\r\n# Check if the value of tempo is equal to 1 using the if conditional statement.\r\nif tempo == 1:\r\n  # If the statement is true, then print \"The Matrix given is not a diagonal Matrix.\"\r\n    print(\"The Matrix given is not a diagonal Matrix.\")\r\nelse:\r\n  # Else print \"The Matrix given is a diagonal Matrix.\"\r\n    print(\"The Matrix given is a diagonal Matrix.\")\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number of rows of the matrix = 3\r\nEnter some random number of columns of the matrix = 3\r\nEnter {3} elements of row {1} separated by spaces = 1 2 3\r\nEnter {3} elements of row {2} separated by spaces = 6 5 4\r\nEnter {3} elements of row {3} separated by spaces = 7 8 9\r\nThe Matrix given is not a diagonal Matrix.<\/pre>\n<p>Grab the opportunity and utilize the <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Program Code Examples<\/a> over here to prepare basic and advanced topics too with ease and clear all your doubts.<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-all-diagonal-elements-of-a-matrix\/\">Python Program to Find the Sum of all Diagonal Elements of a Matrix<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-display-a-lower-triangular-matrix\/\">Python Program to Display a Lower Triangular Matrix<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-display-an-upper-triangular-matrix\/\">Python Program to Display an Upper Triangular Matrix<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-all-elements-in-a-2d-array-matrix\/\">Python Program to Find the Sum of all Elements in a 2D Array<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed Python Program to Find Square of a Matrix Given a matrix and the task is to check if the given matrix is diagonal or not in Python. What is a matrix: A matrix is a rectangular sequence of numbers divided into columns and rows. A matrix element or &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-check-whether-a-matrix-is-diagonal-or-not\/\"> <span class=\"screen-reader-text\">Python Program to Check Whether a Matrix is Diagonal or Not<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":20156,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[5],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python Program to Check Whether a Matrix is Diagonal or Not - Python Programs<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/python-programs.com\/python-program-to-check-whether-a-matrix-is-diagonal-or-not\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program to Check Whether a Matrix is Diagonal or Not - Python Programs\" \/>\n<meta property=\"og:description\" content=\"In the previous article, we have discussed Python Program to Find Square of a Matrix Given a matrix and the task is to check if the given matrix is diagonal or not in Python. 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What is a matrix: A matrix is a rectangular sequence of numbers divided into columns and rows. 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