21.1f A' = 34² where A is n by n matrix, then (a) A= 31 (b) A 31 if rank((A) =n () A" =!1 (d) a and c (0) none

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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Q19. If A is a 3 by 3 skew-symmetric matrix, the A is
(a) I or -1 (b)0 (c) 1 (d) any real number not equal to zero (c) none
Q20. If A is a 4 by 3 matrix with orthogonal columns each of length 4, then
(a) A A= 41 (b) AA=1 (c) A'A =161 (d) AA= 81 (e) none
21.1f A' = 34² where A is n by n matrix, then
(2) A = 31 (b) A = 31 if rank(A) = n (c) A'=-1 (d) a and e (0) none
(a)
3
Q22. If , and Q, are n by n orthogonal matrices, then
(a) Q2, is also an orthogonal matrix (b) -Q, is also an orthogonal matrix
(c) Q, +Q, is also an orthogonal matrix ((d) jill the above (c) none
Transcribed Image Text:Q19. If A is a 3 by 3 skew-symmetric matrix, the A is (a) I or -1 (b)0 (c) 1 (d) any real number not equal to zero (c) none Q20. If A is a 4 by 3 matrix with orthogonal columns each of length 4, then (a) A A= 41 (b) AA=1 (c) A'A =161 (d) AA= 81 (e) none 21.1f A' = 34² where A is n by n matrix, then (2) A = 31 (b) A = 31 if rank(A) = n (c) A'=-1 (d) a and e (0) none (a) 3 Q22. If , and Q, are n by n orthogonal matrices, then (a) Q2, is also an orthogonal matrix (b) -Q, is also an orthogonal matrix (c) Q, +Q, is also an orthogonal matrix ((d) jill the above (c) none
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