Cofactor

To get a cofactor of matrix, you first need to find the matrix of minor for that matrix. Given matrix M, find the cofactor of element and multiply the minor of that element by -1 raised to the power:

Getting ready

We're going to create a generic function that will find the matrix of cofactors for any sized matrix, given the matrix of minors. We're going to call this generic Cofactor function from more specific Cofactor functions for 2 X 2 and 3 X 3 matrices.

How to do it…

Follow these steps to implement a generic cofactor function which will work on matrices of any size. We will use this generic function to implement the specific two and three dimensional square matrix cofactor functions:

1. Declare all versions of the Cofactor function in matrices.h:

   void Cofactor(float* out, const float* minor, 
      int rows, int cols);
   mat3 Cofactor(const mat3& mat);
   mat2 Cofactor(const mat2& mat);

2. Implement the generic Cofactor function in matrices.cpp:

   void Cofactor(float* out, const float* minor...