Given a square matrix and the task is to check the matrix is in upper triangular form or not. A square matrix is called upper triangular if all the entries below the main diagonal are zero.
Examples:
Input : mat[4][4] = {{1, 3, 5, 3},
{0, 4, 6, 2},
{0, 0, 2, 5},
{0, 0, 0, 6}};
Output : Matrix is in Upper Triangular form.
Input : mat[4][4] = {{5, 6, 3, 6},
{0, 4, 6, 6},
{1, 0, 8, 5},
{0, 1, 0, 6}};
Output : Matrix is not in Upper Triangular form.
Python3
# Python3 Program to check upper # triangular matrix.# Function to check matrix # is in upper triangulardef isuppertriangular(M): for i in range(1, len(M)): for j in range(0, i): if(M[i][j] != 0): return False return True # Driver function.M = [[1,3,5,3], [0,4,6,2], [0,0,2,5], [0,0,0,6]]if isuppertriangular(M): print ("Yes")else: print ("No")# This code is contributed by Anurag Rawat |
Output:
Yes
Time Complexity: O(n2), where n represents the number of rows and columns of the matrix.
Auxiliary Space: O(1), no extra space is required, so it is a constant.
Please refer complete article on Program to check if matrix is upper triangular for more details!
