Let 3 -5 A = and B = 2 -3 ] (a) Find AB, A1, and B-1. AB = 1/2 A-1 %3D 1 B-1 %3D (b) Show that (AB)-1 = B-1A¬1, (AB)-1 %3D B-A-1 %3D

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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Let
6 -2
3 -5
A =
-21.
and B =
2 -3
(a) Find AB, A-1, and B-1.
AB =
1/2
1.
A-1
1
3
B-1 =
(b) Show that (AB)-1 = B-1A-1
(AB)-1
%3D
1 1
B-A-1
I 1
II
Transcribed Image Text:Let 6 -2 3 -5 A = -21. and B = 2 -3 (a) Find AB, A-1, and B-1. AB = 1/2 1. A-1 1 3 B-1 = (b) Show that (AB)-1 = B-1A-1 (AB)-1 %3D 1 1 B-A-1 I 1 II
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