1. MAC 1140 Unit 4 Test Review

2. 1. Give the order of the following matrix:.

3. Given the following matrices, perform the indicated operation if possible. If not possible, write NP in the answer blank. A = B = C = D =E = F = 2. A + B 3. BC 4. 3C + D 5. 6. BF 7. BE

4. Perform the following row operations beginning with matrix B and using your answer to each matrix for the next. B = ___________________ 8. ___________________ 9. __________________ 10. Write the remaining row operation it would take to get the 2 X 2 identity matrix.

5. 11. Given the following matrix, calculate the determinant.

6. Solve for x using Cramer’s Rule. _______ 12. x – y = 1 ______ 13. 2x – 2y + 3z = 7 3x+y = 7 x + y – z = -2 3x + y – 2z = 5

7. Solve the system of equations: Use any method. _________________ 14. x + y + z = 4 x + y – z = 6 x – y – z = 8 __________________ 15. x - 2y + z = -3 2x + 4y + 2z = 5

8. ______________ 16. Solve using Gaussian elimination with your calculator: x – y + z = 5 x + y + 3z = 11 -x + 2y – z = -5

9. 17-18. Given the geometric series: 2 + 6 + 18 + 54 + 162 17. Write the geometric series in summation notation. 18. Find the sum of the geometric series

10. 19. Given the following sequence: -5, -2, 1, 4, 7, ….. Find the 41st term. 20. Determine the sum of the following sequence: -6,-3,0,3,6,9,…,291 21. Find the sum of the geometric series: 1 + ½ + ¼ + …..

11. STUDY HARD GOOD LUCK!!!!!!