How to determine whether two matrices can be multiplied, and if so, what the dimensions of the product will be.
How to determine whether a square matrix is invertible using its determinant.
How to determine whether two matrices are inverses.
How to determine the identity matrix of order n.
How to compute the determinant of a 2x2 square matrix.
How to compute the determinant of a 3x3 square matrix using minors by expanding along the top row.
How to convert a system of linear equations into a matrix equation and solve it.