How to compute the determinant of a 2x2 square matrix.
How to compute the area of a parallelogram using a determinant.
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 simplify determinants using three row (or column) operations.
How to determine whether a relation is a function.
How to compute the cross product of two 3D vectors.
How to determine the derivative of a linear function.
How to determine the derivative of a power function.
How to determine the number of diagonals in a polygon.
How to determine the triangle side inequalities.
How to solve a system of two linear equations with two unknowns using Cramer's rule.