JavaScript Program to check if matrix is lower triangular
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.
Javascript
<script> // Java script Program to check for // a lower triangular matrix. let N = 4; // Function to check matrix is // in lower triangular form or not. function isLowerTriangularMatrix(mat) { for (let i = 0; i < N; i++) for (let j = i + 1; j < N; j++) if (mat[i][j] != 0) return false ; return true ; } // Driver function. let mat = [[ 1, 0, 0, 0 ], [ 1, 4, 0, 0 ], [ 4, 6, 2, 0 ], [ 0, 4, 7, 6 ]]; // Function call if (isLowerTriangularMatrix(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 given 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 lower triangular for more details!