{"id":20820,"date":"2021-09-22T17:32:38","date_gmt":"2021-09-22T12:02:38","guid":{"rendered":"https:\/\/python-programs.com\/?p=20820"},"modified":"2021-11-22T18:36:13","modified_gmt":"2021-11-22T13:06:13","slug":"python-program-for-markov-matrix","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-for-markov-matrix\/","title":{"rendered":"Python Program for Markov Matrix"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-for-sum-of-middle-row-and-column-in-matrix\/\">Python Program for Sum of Middle Row and Column in Matrix<\/a><\/p>\n<p><strong>Markov Matrix:<\/strong><\/p>\n<p>The matrix where the sum of each row equals one.<\/p>\n<p>Given a matrix, the task is to check if the given matrix is a Markov matrix or not.<\/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>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<div class=\"google-auto-placed ap_container\">Here as there are 5 rows and 4 columns it is called a 5*4 matrix.<\/div>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Matrix : \r\n0.5 0.5 0\r\n0 0 1\r\n1 0 0\r\n\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">Yes, the given matrix is a Markov Matrix<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Matrix : \r\n1 2 0\r\n0 0.5 0.5\r\n1 0 0<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">No, the given matrix is not a Markov Matrix<\/pre>\n<h2>Program for Markov Matrix in Python<\/h2>\n<p>Below are the ways to check if the given matrix is a Markov matrix 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>Pass the given matrix as an argument to the <strong>chek_Markovmatrix<\/strong> function and check if the function returns true or false using the if conditional statement.<\/li>\n<li>If it is true then print\u00a0 &#8220;Yes, the given matrix is a Markov Matrix&#8221;.<\/li>\n<li>Else print &#8220;No, the given matrix is not a Markov Matrix&#8221;.<\/li>\n<li>Create a function to say <strong>chek_Markovmatrix <\/strong>which takes the given matrix as an argument and returns True or false.<\/li>\n<li>Loop till the given number of rows using the For loop.<\/li>\n<li>Take a variable to say <strong>row_summ<\/strong> and initialize its value to 0.<\/li>\n<li>Inside the For loop, Iterate till the given number of rows using another Nested For loop(Inner For loop).<\/li>\n<li>Add mtrx[p][q] to the above <strong>row_summ (<\/strong>where p is the iterator value of the parent for loop and q is the iterator value of the inner forloop<strong>).<\/strong><\/li>\n<li>Store it in the same variable\u00a0<strong>row_summ<\/strong><\/li>\n<li>Check if the value of <strong>row_summ <\/strong>is not equal to 1 using the if conditional statement.<\/li>\n<li>If it is true then return false.<\/li>\n<li>Return True.<\/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\"># Create a function to say chek_Markovmatrix which takes the given matrix as an argument\r\n# and returns True or false.\r\n\r\n\r\ndef chek_Markovmatrix(mtrx):\r\n\r\n   # Loop till the given number of rows using the For loop.\r\n    for p in range(mtrxrows):\r\n        # Take a variable to say row_summ and initialize its value to 0.\r\n\r\n        row_summ = 0\r\n        # Inside the For loop, Iterate till the given number of rows using another Nested\r\n        # For loop (Inner For loop).\r\n        for q in range(mtrxrows):\r\n           # Add mtrx[p][q] to the above row_summ (where p is the iterator value of the\r\n           # parent for loop and q is the iterator value of the inner forloop).\r\n           # Store it in the same variable\u00a0row_summ\r\n            row_summ = row_summ + mtrx[p][q]\r\n        # Check if the value of row_summ is not equal to 1 using the if conditional\r\n        # statement.\r\n        if (row_summ != 1):\r\n          # If it is true then return false.\r\n            return False\r\n        # Return True.\r\n    return True\r\n\r\n\r\n# Give the matrix as static input and store it in a variable.\r\nmtrx = [[0.5, 0.5, 0], [0, 0, 1], [1, 0, 0]]\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# Pass the given matrix as an argument to the chek_Markovmatrix function and check if\r\n# the function returns true or false using the if conditional statement.\r\nif (chek_Markovmatrix(mtrx)):\r\n  # If it is true then print\u00a0 \"Yes, the given matrix is a Markov Matrix\".\r\n    print(\"Yes, the given matrix is a Markov Matrix\")\r\nelse:\r\n  # Else print \"No, the given matrix is not a Markov Matrix\".\r\n    print(\"No, the given matrix is not a Markov Matrix\")\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">Yes, the given matrix is a Markov 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(), float(), 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>Pass the given matrix as an argument to the <strong>chek_Markovmatrix<\/strong> function and check if the function returns true or false using the if conditional statement.<\/li>\n<li>If it is true then print\u00a0 &#8220;Yes, the given matrix is a Markov Matrix&#8221;.<\/li>\n<li>Else print &#8220;No, the given matrix is not a Markov Matrix&#8221;.<\/li>\n<li>Create a function to say <strong>chek_Markovmatrix <\/strong>which takes the given matrix as an argument and returns True or false.<\/li>\n<li>Loop till the given number of rows using the For loop.<\/li>\n<li>Take a variable to say <strong>row_summ<\/strong> and initialize its value to 0.<\/li>\n<li>Inside the For loop, Iterate till the given number of rows using another Nested For loop(Inner For loop).<\/li>\n<li>Add mtrx[p][q] to the above <strong>row_summ (<\/strong>where p is the iterator value of the parent for loop and q is the iterator value of the inner for loop<strong>).<\/strong><\/li>\n<li>Store it in the same variable\u00a0<strong>row_summ<\/strong><\/li>\n<li>Check if the value of <strong>row_summ <\/strong>is not equal to 1 using the if conditional statement.<\/li>\n<li>If it is true then return false.<\/li>\n<li>Return True.<\/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\"># Create a function to say chek_Markovmatrix which takes the given matrix as an argument\r\n# and returns True or false.\r\n\r\n\r\ndef chek_Markovmatrix(mtrx):\r\n\r\n   # Loop till the given number of rows using the For loop.\r\n    for p in range(mtrxrows):\r\n        # Take a variable to say row_summ and initialize its value to 0.\r\n\r\n        row_summ = 0\r\n        # Inside the For loop, Iterate till the given number of rows using another Nested\r\n        # For loop (Inner For loop).\r\n        for q in range(mtrxrows):\r\n           # Add mtrx[p][q] to the above row_summ (where p is the iterator value of the\r\n           # parent for loop and q is the iterator value of the inner forloop).\r\n           # Store it in the same variable\u00a0row_summ\r\n            row_summ = row_summ + mtrx[p][q]\r\n        # Check if the value of row_summ is not equal to 1 using the if conditional\r\n        # statement.\r\n        if (row_summ != 1):\r\n          # If it is true then return false.\r\n            return False\r\n        # Return True.\r\n    return True\r\n\r\n\r\n# 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(),float(),split() functions and store it in a variable.\r\n    l = list(map(float, 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# Pass the given matrix as an argument to the chek_Markovmatrix function and check if\r\n# the function returns true or false using the if conditional statement.\r\nif (chek_Markovmatrix(mtrx)):\r\n  # If it is true then print\u00a0 \"Yes, the given matrix is a Markov Matrix\".\r\n    print(\"Yes, the given matrix is a Markov Matrix\")\r\nelse:\r\n  # Else print \"No, the given matrix is not a Markov Matrix\".\r\n    print(\"No, the given matrix is not a Markov 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 0\r\nEnter {3} elements of row {2} separated by spaces = 0 0.5 0.5\r\nEnter {3} elements of row {3} separated by spaces = 1 0 0\r\nNo, the given matrix is not a Markov Matrix<\/pre>\n<p>Access the big list of <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Programming Code Examples<\/a> with actual logical code asked in Programming and Coding Interviews for Python and stand out from the crowd.<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-check-whether-a-matrix-is-a-scalar-or-not\/\">Python Program to Check Whether a Matrix is a Scalar or Not<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-check-two-matrix-are-equal-or-not\/\">Python Program to Check Two Matrix are Equal or Not<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-normal-and-trace-of-a-matrix\/\"><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Python Program to find the Normal and Trace of a Matrix&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4224,&quot;10&quot;:2,&quot;15&quot;:&quot;Arial&quot;}\">Python Program to find the Normal and Trace of a Matrix<\/span><\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-for-sum-of-middle-row-and-column-in-matrix\/\">Python Program for Sum of Middle Row and Column in Matrix<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed Python Program for Sum of Middle Row and Column in Matrix Markov Matrix: The matrix where the sum of each row equals one. Given a matrix, the task is to check if the given matrix is a Markov matrix or not. What is a matrix: A matrix is &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-for-markov-matrix\/\"> <span class=\"screen-reader-text\">Python Program for Markov Matrix<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":21848,"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 for Markov Matrix - 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-for-markov-matrix\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program for Markov Matrix - Python Programs\" \/>\n<meta property=\"og:description\" content=\"In the previous article, we have discussed Python Program for Sum of Middle Row and Column in Matrix Markov Matrix: The matrix where the sum of each row equals one. 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Given a matrix, the task is to check if the given matrix is a Markov matrix or not. 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