After studying this course, you should be able to:
use the method of Gauss-Jordan elimination to find the solutions of systems of simultaneous linear equations
solve a system of linear equations by row-reducing its augmented form
perform the matrix operations of addition, multiplication and transposition and express a system of simultaneous linear equations in matrix form
determine whether or not a given matrix is invertible and if it is, find its inverse
evaluate the determinant of a 2 x 2 or 3 x 3 matrix and use the determinant to determine whether or not a given 2 x 2 matrix is invertible.