Python Program to check if matrix is upper triangular
Last Updated :
10 Jun, 2022
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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 Program to check upper
# triangular matrix.
# Function to check matrix
# is in upper triangular
def 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.
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