Math 116 - Chapter 8 Study Guide

1. Given two 2x2 matrices A and B. Find:
1. A+B
2. Determinant A (Be sure you recognize the notation for determinants)
3. AB
4. A inverse
5. 3A-2B
6. B squared
7. 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.
2. Solve two matrix equations for X. Examples: AX=B, AX + B = CX + D
3. 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).
4. Find the inverse of a 3x3 matrix.
5. Evaluate a 4x4 determinant (lots of zeros)
6. Application problem. Look at problems 8.2.41 - 8.2.44 all. (3 parts)
7. 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.