{"id":20135,"date":"2021-09-06T13:37:59","date_gmt":"2021-09-06T08:07:59","guid":{"rendered":"https:\/\/python-programs.com\/?p=20135"},"modified":"2021-11-22T18:36:26","modified_gmt":"2021-11-22T13:06:26","slug":"python-program-to-display-a-lower-triangular-matrix","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-display-a-lower-triangular-matrix\/","title":{"rendered":"Python Program to Display a Lower Triangular Matrix"},"content":{"rendered":"
In the previous article, we have discussed Python Program to Find the Sum of all Diagonal Elements of a Matrix<\/a><\/p>\n Given a matrix and the task is to display the lower triangular matrix of the given matrix in Python.<\/p>\n What is a matrix:<\/strong><\/p>\n 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 Example:<\/strong><\/p>\n <\/p>\n Above is the matrix which contains 5 rows and 4 columns and having elements from 1 to 20.<\/p>\n In this order, the dimensions of a matrix indicate the number of rows and columns.<\/p>\n Here as there are 5 rows and 4 columns it is called a 5*4 matrix.<\/p>\n Lower Triangular Matrix:<\/strong><\/p>\n A lower triangular matrix is one that has all of its upper triangular elements equal to zero. In other words, all non-zero elements are on the main diagonal or in the lower triangle.<\/p>\n Examples:<\/strong><\/p>\n Example1:<\/strong><\/p>\n Input:<\/strong><\/p>\n Output:<\/strong><\/p>\n Example2:<\/strong><\/p>\n Input:<\/strong><\/p>\n Output:<\/strong><\/p>\n Below are the ways to display the lower triangular matrix of the given matrix in Python:<\/p>\n Approach:<\/strong><\/p>\n Below is the implementation:<\/strong><\/p>\n Output:<\/strong><\/p>\n Approach:<\/strong><\/p>\n Below is the implementation:<\/strong><\/p>\n Output:<\/strong><\/p>\n Explore more Example Python Programs<\/a> with output and explanation and practice them for your interviews, assignments and stand out from the rest of the crowd.<\/p>\n In the previous article, we have discussed Python Program to Find the Sum of all Diagonal Elements of a Matrix Given a matrix and the task is to display the lower triangular matrix of the given matrix in Python. What is a matrix: A matrix is a rectangular sequence of numbers divided into columns and …<\/p>\nGiven Matrix :\r\n5 3 2\r\n6 1 5\r\n4 8 2<\/pre>\n
The Lower Triangular matrix of the given matrix is :\r\n5 0 0 \r\n6 1 0 \r\n4 8 2<\/pre>\n
Given Matrix :\r\n1 2 3\r\n6 5 4\r\n7 8 9<\/pre>\n
The Lower Triangular matrix of the given matrix is :\r\n1 0 0 \r\n6 5 0 \r\n7 8 9<\/pre>\n
Program to Display a Lower Triangular Matrix in Python<\/h2>\n
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Method #1: Using For Loop (Static Input)<\/h3>\n
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# Give the matrix as static input and store it in a variable.\r\nmtrx = [[5, 3, 2], [6, 1, 5], [4, 8, 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\nprint(\"The Lower Triangular matrix of the given matrix is :\")\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 less than 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 0.\r\n print(\"0 \", end=\"\")\r\n else:\r\n # Else Print the element of the matrix by printing gvnmatrix[n][m] value.\r\n print(mtrx[n][m], end=\" \")\r\n print()\r\n<\/pre>\n
The Lower Triangular matrix of the given matrix is :\r\n5 0 0 \r\n6 1 0 \r\n4 8 2<\/pre>\n
Method #2: Using For loop (User Input)<\/h3>\n
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# 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\nprint(\"The Lower Triangular matrix of the given matrix is :\")\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 less than 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 0.\r\n print(\"0 \", end=\"\")\r\n else:\r\n # Else Print the element of the matrix by printing gvnmatrix[n][m] value.\r\n print(mtrx[n][m], end=\" \")\r\n print()\r\n<\/pre>\n
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 Lower Triangular matrix of the given matrix is :\r\n1 0 0 \r\n6 5 0 \r\n7 8 9<\/pre>\n
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