Problem

Determinants. The following problems define cofactors and minors of a square matrix; use t...

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

A cofactor A(i, j ) of a matrix A is the product of the minor of a(i, j ) 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], int i, int j);

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).

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Solutions For Problems in Chapter 8
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