Matrix Inverse

Steps to Find the Inverse of a Matrix:

1. Ensure the matrix is square (same number of rows and columns) and has a non-zero determinant.
2. Compute the matrix of minors for the original matrix.
3. Find the cofactor matrix by applying a checkerboard pattern of signs to the matrix of minors.
4. Calculate the adjugate matrix by taking the transpose of the cofactor matrix.
5. Multiply the adjugate matrix by the reciprocal of the determinant of the original matrix to get the inverse.