MAS 2103 Exam 1 Outline
1.
2.
3.
4.
Know the difference between reduced row-echelon and row echelon-form of a matrix.
Know how to find the reduced row-echelon form of a matrix.
Know how to solve a system of equations by Gaussian Elimination and Gauss-Jordan Elimination.
Know how to write a system of equations in the form Ax = b. Also be able to express the matrix equation
as a linear combination of the columns of A.
5. Know how to solve a homogeneous system of equations.
6. Know how to perform matrix operations. Don’t forget about the transpose and trace.
7. Know how to find the inverse of a 2 x 2 and 3 x 3 matrix.
8. Know how to compute the determinant of a matrix using cofactor expansion. Also be able to find the
determinant of a lower triangular, upper triangular, and diagonal matrix.
9. Know properties of inverses, transposes, traces, and powers of matrices.
10. Go over proofs given in class. Also go over applications given in class from section 1.3.
Note: No graphing calculators!
Good Luck!