## Math 116 - Chapter 8 Study Guide

- Given two 2x2 matrices A and B. Find:
- A+B
- Determinant A (Be sure you recognize the notation for determinants)
- AB
- A inverse
- 3A-2B
- B squared
- Given a function f, evaluate f(A). Look at problems 33 - 36 in section 8.2. Note: If you
don't look at these problems, you're not going to know what to do on this problem.

- Solve two matrix equations for X. Examples: AX=B, AX + B = CX + D
- Solve two 3x3 systems of linear equations using Gauss-Jordan elimination. Gauss-Jordan
elimination must be used. Pivoting is optional but encouraged. One of the systems is very
easy (lot's of zero's).
- Find the inverse of a 3x3 matrix.
- Evaluate a 4x4 determinant (lots of zeros)
- Application problem. Look at problems 8.2.41 - 8.2.44 all. (3 parts)
- Solve a 2x2 system of equations using Cramer's Rule. Cramer's Rule must be used.

### Notes

- The in-class portion is 45 points.
- The take-home portion is 55 points.
- Problem 1 is 2 points for each part except the last part which is worth 3 points. (15 total)
- Problem 2 is 2 points per part. (4 total)
- Problem 3 is 4 points per part. (8 total)
- Problem 4 is 4 points.
- Problem 5 is 4 points.
- Problem 6 is 2 points for each part. (6 total)
- Problem 7 is 4 points.