Math 116: Study Guide - Chapter 6

  1. Determine the order of the matrix
  2. Write the system of linear equations as an augmented matrix. Do not solve the system
  3. Solve the system of linear equations using Gauss Jordan elimination
  4. Solve the system of linear equations using Cramer's Rule
  5. Given two 2x2 matrices A and B, find: A + B, 3A, AB, A squared, A inverse, the determinant of A. Also evaluate a function, f(A).
  6. Use a determinant to find the equation of a line passing through the given points. The model is given.
  7. True or False - 4 parts. You should definitely know about commutativity and division of both scalars and matrices.
  8. Some statements are given. You must decide if performing those operations will return an row-equivalent matrix. Four parts.
  9. Solve the matrix equations for X. Three parts. Know that when you factor a scalar out of a matrix, you need to multiply the scalar by I: example AX-5X = (A-5I)X, not (A-5)X
  10. Multiply two matrices together.
  11. Solve a 3x3 system linear equations using Gauss Jordan Elimination.

Notes

# 1 2 3 4 5 6 7 8 9 10 11 Tot
Pts 2 2 5 5 14 3 4 4 3 3 5 50