How to compute the determinant of a 3x3 square matrix using minors by expanding along the top row.
How to determine whether a square matrix is invertible using its determinant.
How to compute the determinant of a 2x2 square matrix.
How to compute the area of a parallelogram using a determinant.
How to simplify determinants using three row (or column) operations.
How to determine whether two matrices can be multiplied, and if so, what the dimensions of the product will be.
How to determine whether two matrices are inverses.
How to determine whether a relation is a function.
The differences between elements and compounds.
How to talk about matrices.
How to determine the identity matrix of order n.
How to solve a quadratic equation by completing the square.