MAC 1140 Unit 4 Test Review. 1. Give the order of the following matrix:.

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Presentation transcript:

MAC 1140 Unit 4 Test Review

1. Give the order of the following matrix:.

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 BF 7. BE

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.

11. Given the following matrix, 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 = 5 x + y + 3z = 11 -x + 2y – z = -5

Given the geometric series: 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,…, Find the sum of the geometric series: 1 + ½ + ¼ + …..

STUDY HARD GOOD LUCK!!!!!!