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4. If G is a 3 x 1 matrix while H is a 1 x 3 matrix then A. GH is 3 x 3, HG is 1 x 1. B. GH is 1 x 1, HG is 3 x 3. C. GH is 3 x 3, HG is undefined. D. GH is undefined, HG is 1 x 1. 1 1 1 5. What is the inverse of I = 2 1 1? 2 2 3 1 1 A. I' does not exist. c. % 1 1 し%为 3. -1 -1 –1 1 В. | - 2 -1 -1 D. 4 -1 - - 2 -2 -3 -2 0 1 3 -7 4 6. Compute for the determinant of J = |0 6. 9. -1 A. -81 В. -45 С. -18 D. 18

4. If G is a 3 x 1 matrix while H is a 1 x 3 matrix then A. GH is 3 x 3, HG is 1 x 1. B. GH is 1 x 1, HG is 3 x 3. C. GH is 3 x 3, HG is undefined. D. GH is undefined, HG is 1 x 1. 1 1 1 5. What is the inverse of I = 2 1 1? 2 2 3 1 1 A. I' does not exist. c. % 1 1 し%为 3. -1 -1 –1 1 В. | - 2 -1 -1 D. 4 -1 - - 2 -2 -3 -2 0 1 3 -7 4 6. Compute for the determinant of J = |0 6. 9. -1 A. -81 В. -45 С. -18 D. 18

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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7. Which of the following matrices has a determinant of 1? Го 1 А. 1 0 [1 1 1 D. 1 1 1 [1 0 [11] С. 0 1 В. | 1 4А — В + 3С 3D 12; 8. Solve the system of equations: 2A + 9C = -5; and A + 4B + 6C = -32. A. (2, 7, -1) В. (2, 7, 1) С. (2, -7, 1) D. (2, -7, -1) у — 4 2w – 3 9. Solve the system of equations: x - y + 3z = -8; 2x + z = 0; and x + 5y + z = 40. A. (-8, 0, 0) С. (), -8, -8) - 2 В. (0, -8, 0) D. (8, 8, 0) and 10. V-9 A. V3 i В. Зі С.-3 і D. -V3 i
Transcribed Image Text:7. Which of the following matrices has a determinant of 1? Го 1 А. 1 0 [1 1 1 D. 1 1 1 [1 0 [11] С. 0 1 В. | 1 4А — В + 3С 3D 12; 8. Solve the system of equations: 2A + 9C = -5; and A + 4B + 6C = -32. A. (2, 7, -1) В. (2, 7, 1) С. (2, -7, 1) D. (2, -7, -1) у — 4 2w – 3 9. Solve the system of equations: x - y + 3z = -8; 2x + z = 0; and x + 5y + z = 40. A. (-8, 0, 0) С. (), -8, -8) - 2 В. (0, -8, 0) D. (8, 8, 0) and 10. V-9 A. V3 i В. Зі С.-3 і D. -V3 i
4. If G is a 3 x 1 matrix while H is a 1 x 3 matrix then A. GH is 3 x 3, HG is 1 x 1. B. GH is 1 x 1, HG is 3 x 3. C. GH is 3 x 3, HG is undefined. D. GH is undefined, HG is 1 x 1. 1 5. What is the inverse of I =| 2 1 1? |2 2 3 1 1 1 A. I' does not exist. C.2 1 -1 1 1 B.-2 -1 -1 D. 4 -1 4 -2 - 2 - 3 1 2 0 1 3 -7 4 6. Compute for the determinant of J =0 -1 А. -81 В. -45 С. -18 D. 18
Transcribed Image Text:4. If G is a 3 x 1 matrix while H is a 1 x 3 matrix then A. GH is 3 x 3, HG is 1 x 1. B. GH is 1 x 1, HG is 3 x 3. C. GH is 3 x 3, HG is undefined. D. GH is undefined, HG is 1 x 1. 1 5. What is the inverse of I =| 2 1 1? |2 2 3 1 1 1 A. I' does not exist. C.2 1 -1 1 1 B.-2 -1 -1 D. 4 -1 4 -2 - 2 - 3 1 2 0 1 3 -7 4 6. Compute for the determinant of J =0 -1 А. -81 В. -45 С. -18 D. 18
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