Determinants. The following problems define cofactors and minors of a square matrix and th...

Determinants. The following problems define cofactors and minors of a square matrix and then use them to evaluate a determinant.

The determinant of a square matrix A can be computed in the following way:

(a) Select any column.

(b) Multiply each element in the column by its cofactor.

(c) Add the products obtained in step (b).

Write a function det_c to compute the determinant of a square matrix with four rows and four columns using this technique. You may want to reference the function developed in Problem. Assume that the corresponding function prototype is

double det_c(double a[4][4]);

Problem

A cofactor Ai,j of a matrix A is the product of the minor ai,j of and the factor (‑1)i+j. Write a function to compute a cofactor of a square matrix with four rows and four columns. The arguments should be the matrix A and the values of i and j. You may want to reference the function in Problem. Assume that the corresponding function prototype is:

double cofactor(double a[4][4],int i,int j);