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.