ii. If A = 2 [2 51 [3 B = 1, then show that %3D 8 15 [4] (i) (AB)-1 = B-'A-1 (ii) (AB)" = B" A" (iii) (ЗА — 2B)Т — 3АТ — 2BТ (iii) det(AB) = det A det B | :=

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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9ii- Please I want solution of all sub-parts of this question. Thanks

If A = B =
[2
ii.
В
1, then show that
[4]
(i)
(AB)-1 = B-1A-1
(ii) (AB)" = B" A™
(ii)
(iii) det(AB) = det A· det B
%3D
Transcribed Image Text:If A = B = [2 ii. В 1, then show that [4] (i) (AB)-1 = B-1A-1 (ii) (AB)" = B" A™ (ii) (iii) det(AB) = det A· det B %3D
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