## Math 116: Study Guide - Chapter 6

1. Write the order of the matrix
2. Write the system of linear equations as an augmented matrix
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.
7. True or False - 5 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 equivalent matrix. Four parts.
9. Solve the matrix equations for X. Three parts.
10. Multiply two matrices together.
11. Solve a system linear equations using Gauss Jordan Elimination. Directly from the text in 6.1, problems 49-56.

### Notes

• NO CALCULATORS on the in-class portion.
• The in-class portion is worth 60 points.
• There is a take-home portion designed to be used done with the calculator.
• The take-home portion is worth 40 points and will be due the day of the in-class exam.
• Show work where necessary. Parts of problem 5 are so simple that you could do the work in your head.
• Make sure you use the proper technique (Gauss-Jordan or Cramer's Rule). You will miss half the points if you use the wrong technique.

### Error on Take Home

There is a mistake on problem 7 for the "Male with last names N-Z" on the take home exam. The "3" in the first position of the third row of the message should be a "73" instead.