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.
Javascript
<script> // Java script Program to check upper // triangular matrix. let N = 4; // Function to check matrix is in
// upper triangular form or not.
function isUpperTriangularMatrix(mat)
{
for (let i = 1; i < N ; i++)
for (let j = 0; j < i; j++)
if (mat[i][j] != 0)
return false ;
return true ;
}
// driver function
let mat= [[1, 3, 5, 3 ],
[ 0, 4, 6, 2 ],
[ 0, 0, 2, 5 ],
[ 0, 0, 0, 6 ]];
if (isUpperTriangularMatrix(mat))
document.write( "Yes" );
else
document.write( "No" );
// contributed by sravan kumar </script> |
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!