Game Physics Cookbook

Matrix of minors

Each element of a matrix has a minor. The minor is the determinant of a smaller matrix cut from the original matrix. We can find a matrix of minors by finding the minor for each element of a matrix.

To find the minor of element i, j in a 3 X 3 matrix M, remove row i and column j of the matrix. The determinant of the resulting 2 X 2 matrix is the minor of element .

We can find the minor of a 2 X 2 matrix in a similar fashion. To find the minor of element i, j, remove row i and column j. The remaining scalar is the determinant. In the case of a 2 X 2 matrix, this determinant is the minor.

Getting ready

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