範例 6-8 Matrix Determinant by Upper Triangular Matrix

Matrix Determinant by Upper Triangular Matrix

Determinant, a properties of matrix determines the matrix is singular or not. Upper triangular method is preferred over minor or cofactor of matrix method while finding determinant of the matrix's size over 3x3.

The matrix A is converted into upper triangular matrix U by elementary row operation and then multiplication of main diagonal elements is called determinant of the matrix A.

 

• Read matrix A
• Convert matrix A into U by applying Row operation
• Read Main Diagonal elements from U
• Determinant = product of Main Diagonal elements