MAC 1140

Unit 4

Test Review

1. Give the order of the following matrix:

154

651

.

42

32

21

73

3

1

35

230

112

123

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. 42

32

6. BF 7. BE

21 RR

2213 RRR

10

01

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

.

21

73

11. Given the following matrix

142

513

544

, calculate the determinant.

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

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

______________ 16. Solve using Gaussian elimination with your calculator:

x – y + z = 5x + y + 3z = 11-x + 2y – z = -5

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

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 + …..

STUDY HARD

GOOD LUCK!!!!!!