_ 17. 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 1 x 3, HG is undefined. E. GH is undefined, HG is 1 x 1. [1 1 1] 18. What is the inverse of I = 2 1 1? 2 2 3 [1 1 1] E. % 1 ½ ½ %] A. I-1 does not exist. C. 2 1 1 2 2 3 -1 -1 B. -2 -1 -1 |- 2 -2 -3 1 D. 4 -1 4 -2 0 1 [3 -7 4 19. Compute for the determinant of J = 0 6. 0 0 -1] E. 9 А. -81 В. -45 С. -18 D. 18 20. Which of the following matrices has a determinant of 1? [1 1 1] E. 1 Го 1 А. 1 В. 0 1 D.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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_ 17. 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 1 x 3, HG is undefined.
E. GH is undefined, HG is 1 x 1.
[1 1 1]
18. What is the inverse of I = 2 1 1?
2 2 3
[1 1 1]
E. % 1
½ ½ %]
A. I-1 does not exist.
C. 2 1 1
2 2 3
-1 -1
B. -2 -1 -1
|- 2 -2 -3
1
D.
4
-1 4
-2 0
1
[3 -7
4
19. Compute for the determinant of J = 0
6.
0 0 -1]
E. 9
А. -81
В. -45
С. -18
D. 18
20. Which of the following matrices has a determinant of 1?
[1 1 1]
E. 1 1
Го 1
А.
1 0
В.
D.
Transcribed Image Text:_ 17. 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 1 x 3, HG is undefined. E. GH is undefined, HG is 1 x 1. [1 1 1] 18. What is the inverse of I = 2 1 1? 2 2 3 [1 1 1] E. % 1 ½ ½ %] A. I-1 does not exist. C. 2 1 1 2 2 3 -1 -1 B. -2 -1 -1 |- 2 -2 -3 1 D. 4 -1 4 -2 0 1 [3 -7 4 19. Compute for the determinant of J = 0 6. 0 0 -1] E. 9 А. -81 В. -45 С. -18 D. 18 20. Which of the following matrices has a determinant of 1? [1 1 1] E. 1 1 Го 1 А. 1 0 В. D.
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