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.
Java
// Java Program to check upper // triangular matrix. import java.util.*;
import java.lang.*;
public class GfG
{ private static final int N = 4 ;
// Function to check matrix is in
// upper triangular form or not.
public static Boolean isUpperTriangularMatrix( int mat[][])
{
for ( int i = 1 ; i < N ; i++)
for ( int j = 0 ; j < i; j++)
if (mat[i][j] != 0 )
return false ;
return true ;
}
// driver function
public static void main(String argc[]){
int [][] mat= { { 1 , 3 , 5 , 3 },
{ 0 , 4 , 6 , 2 },
{ 0 , 0 , 2 , 5 },
{ 0 , 0 , 0 , 6 } };
if (isUpperTriangularMatrix(mat))
System.out.println( "Yes" );
else
System.out.println( "No" );
}
} /* This code is contributed by Sagar Shukla */ |
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!
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