MAT 216 - Introduction to Matrix Algebra

1. perform vector arithmetic including vector addition and subtraction, vector scaling and vector dot products;
2. apply vector arithmetic operations to geometric situations, including components, and determining orthogonality; 
3. perform calculations and operations on matrices;
4. indicate when matrix operations are defined: transpose, sum, product, determinant, inverse;
5. represent a matrix equation, a vector equation or a system of linear equations in any one of the other two forms; 
6. use the matrix form and row reduction to determine existence and uniqueness of solutions;
7. compute the reduced row echelon form of a given matrix; 
8. solve a given equation or system of equations;
9. identify the properties of common matrix classes, including triangular matrix, diagonal matrix, the zero matrix, the identity matrix;
10. calculate the determinant of a square matrix;
11. use the basic properties of determinants in calculations.