Let A be a 2 x 2 matrix a If ad – bc + 0, then A-1 ad-be ad-be ad-e ad-be. such that [1 AA-1 = A-'A Let -1] 3. 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let A be a 2 x 2 matrix
If ad – bc + 0, then
-1
A.
such that
[1
AA-1 = A-'A
Let
-1]
3.
(a) Find A-1.
(b) Find A?.
(c) Find (A-1)?.
(d) Show that (A-1)² is the inverse of A?.
Transcribed Image Text:Let A be a 2 x 2 matrix If ad – bc + 0, then -1 A. such that [1 AA-1 = A-'A Let -1] 3. (a) Find A-1. (b) Find A?. (c) Find (A-1)?. (d) Show that (A-1)² is the inverse of A?.
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