(3) Suppose that A and B are 4 x 4 matrices and that det(A) det(B) = Then %3D det(-A'BA" (-3B*)(-4)-!) is (c) - 81 (a)- (b) (4) (e) None 64 64

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose that A and B are 4 x 4 matrices and that det(A) = det(B) :
(3)
det(-A°BA"(-3B²)(-A)-') is
%3D
Then
81
(a)
64
(ь)
64
(c)
64
(d)
(e) None
Let A be an invertible n x n matrix, B be p xs matrix, and C be q xt matrix. If
(4)
the matrix expression ABT = (CA)" is defined, then only one of the following is a necessary
restriction on the sizes n, p, 8, q, t. Which one?
(a) n=p=q =s =t
(b) n=s=q and pt
(c) n=s= t and p=q
(e) None
(d) n=s=p and q-t
Transcribed Image Text:Suppose that A and B are 4 x 4 matrices and that det(A) = det(B) : (3) det(-A°BA"(-3B²)(-A)-') is %3D Then 81 (a) 64 (ь) 64 (c) 64 (d) (e) None Let A be an invertible n x n matrix, B be p xs matrix, and C be q xt matrix. If (4) the matrix expression ABT = (CA)" is defined, then only one of the following is a necessary restriction on the sizes n, p, 8, q, t. Which one? (a) n=p=q =s =t (b) n=s=q and pt (c) n=s= t and p=q (e) None (d) n=s=p and q-t
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