Let 6 -2 3 -5 A = and B = -2 1 2 -3 (a) Find AB, A-1, and B-1. AB = A-1 B-1 = (b) Show that (АВ)-1 3 в-1А-1, %3D (АВ)-1 B-1A-1 II

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 =
and B =
-2
1
2 -3
(a) Find AB, A¬1, and B-1.
АВ —
A-1
B-1
(b) Show that (AB)-1 = B-1A-1.
(AB)-1
%3D
B-1A-1
Transcribed Image Text:Let 6 -2 3 -5 A = and B = -2 1 2 -3 (a) Find AB, A¬1, and B-1. АВ — A-1 B-1 (b) Show that (AB)-1 = B-1A-1. (AB)-1 %3D B-1A-1
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