Math 116 - Chapter 6 Study Guide

  1. Determine the order of the matrix
  2. Write the system of linear equations as an augmented matrix. Do not solve the system
  3. Write the solution to the system of linear equations that corresponds to the augmented matrix shown. Three parts.
  4. Determine if each matrix is in row echelon form, reduced row echelon form, or neither. Four parts.
  5. Solve the system of linear equations using Gauss Jordan elimination
  6. Solve the system of linear equations using Cramer's Rule
  7. Solve the matrix equations for X. Four 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
  8. Given two 2x2 matrices A and B, be able to add the matrices, multiply by a scalar, perform a linear combination of the two matrices (ex: 3A-2B), multiply two matrices, square a matrix, find the determinant, and find the inverse.
  9. Use a determinant to find the equation of a line passing through the given points. The model is given.
  10. Multiply two matrices together.
  11. Solve an equation involving determinants for x.
  12. Solve a 3x3 system linear equations using Gauss Jordan Elimination.

Notes:

Points per problem

# 1 2 3 4 5 6 7 8 9 10 11 12 Total
Pts 2 2 3 4 6 6 4 7 3 4 3 6 70

Go to Math 116 homepage
Last updated: April 8, 2003 1:35 AM