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
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
Problem 1RQ
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
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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