Operations on a 4x4 matrix
We know how to find the minor, cofactor, and determinant of 2 X 2 and 3 X 3 matrices. In this section, we're going to implement those functions for a 4 X 4 matrix. We begin with the matrix of minors. The process for finding the minor of element i, j in a 4 X 4 matrix is the same as it was for a 3 X 3 matrix. We eliminate row i and column j of the matrix, the determinant of the resulting 3 X 3 matrix is the minor for element i, j.
Next, we find the cofactor. To find the cofactor we just follow the same formula we did for the 3 X 3 matrix:
To get the cofactor of element i, j, we take the minor of that element and multiply ...
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