Let 1 -1 8 -3 -5 2 -1 , and B = 1 %3D %3D -2 1 4 -7 Compute A-1, (BT)-1 and B-1A-1. What do you observe about (7.1) (A-1)-1 in relation to A. (7.2) ((B")-')" in relation to B-1. (7.3) (AB)-1 in relation to B'A-1.

Let 1 -1 8 -3 -5 2 -1 , and B = 1 %3D %3D -2 1 4 -7 Compute A-1, (BT)-1 and B-1A-1. What do you observe about (7.1) (A-1)-1 in relation to A. (7.2) ((B")-')" in relation to B-1. (7.3) (AB)-1 in relation to B'A-1.

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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Question

Let
1
-1
8.
-3 -5
A =
0.
2 -1
and B =
1
-2
1
-7
9.
Compute A-1, (BT)-1 and B-1A-1. What do you observe about
(7.1) (A-1)-1 in relation to A.
(7.2) ((BT)-')" in relation to B-1.
(7.3) (AB)-1 in relation to B1A-1.

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