Python Program to check if matrix is lower triangular
Last Updated :
31 Jul, 2023
Given a square matrix and the task is to check the matrix is in lower triangular form or not. A square matrix is called lower triangular if all the entries above the main diagonal are zero.
Examples:
Input : mat[4][4] = {{1, 0, 0, 0},
{1, 4, 0, 0},
{4, 6, 2, 0},
{0, 4, 7, 6}};
Output : Matrix is in lower triangular form.
Input : mat[4][4] = {{1, 0, 0, 0},
{4, 3, 0, 1},
{7, 9, 2, 0},
{8, 5, 3, 6}};
Output : Matrix is not in lower triangular form.
Python Program to check if matrix is lower triangular
Python3
def islowertriangular(M):
for i in range ( 0 , len (M)):
for j in range (i + 1 , len (M)):
if (M[i][j] ! = 0 ):
return False
return True
M = [[ 1 , 0 , 0 , 0 ],
[ 1 , 4 , 0 , 0 ],
[ 4 , 6 , 2 , 0 ],
[ 0 , 4 , 7 , 6 ]]
if islowertriangular(M):
print ( "Yes" )
else :
print ( "No" )
|
Output:
Yes
Time Complexity: O(n2), where n represents the number of rows and columns of the given matrix.
Auxiliary Space: O(1), no extra space is required, so it is a constant.
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