ove that if AB = 1, then B = A- 2, 1 -1 21 and (b) 3 1 1 1 -2 1 2.

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
' I. (a) Prove that if AB = I, then B = A-1.
Use this result to find directly the inverses of
2,
1 -1
b11 b12
b21 b22/
3
2
(a)
and (b)
4
B =
and find
1
1
1
[Hint:
In (a) assume
-2
2
1
b11, b12, 621, b22-)
Transcribed Image Text:' I. (a) Prove that if AB = I, then B = A-1. Use this result to find directly the inverses of 2, 1 -1 b11 b12 b21 b22/ 3 2 (a) and (b) 4 B = and find 1 1 1 [Hint: In (a) assume -2 2 1 b11, b12, 621, b22-)
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