1. Write a matrix in reduced row-echelon form.

2. Write an augmented matrix for a system of equations and solve the system.

3. Given matrices A and B. Find A ± B, kA, kA±cB.

4. Find the inverse of a matrix (if it exists).

5. Use the inverse of a matrix to solve the system of equations.

6. Find the determinant of a matrix.

7. Use Cramer’s Rule to solve (if possible) a system of equations.

8. Write the un-coded 1x3 matrices for a message. Then encode the message using an encoding matrix.

9. Mixture word problem.

10. Manufacturing word problem.

11. Manufacturing word problem.

12. Company comparison word problem.

13. Find the area of a triangle with vertices at given ordered pairs.

14. Find the area of a triangle with vertices at given ordered pairs.

15. Use a determinant to help you find the equation of a line through given points

16. Given the encoding matrix for a message and the encoded cryptogram message. Find the inverse of the matrix and decode the message.

17. Write the uncoded 1x3 row matrices for a phrase. Then encode the message using an encoding matrix.