2. A = 77₁b = 3 25 -1 3

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.CR: Review Exercises
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First, apply the formulas in (9) to find A^-1. Then use A^-1 to solve the system Ax=b.

= [²
2. A =
} ], b =
b = [
3 7
25
3
Transcribed Image Text:= [² 2. A = } ], b = b = [ 3 7 25 3
THEOREM 2 Inverses of 2 x 2 Matrices
The 2 x 2 matrix
b
A-[28]
=
C
d
is invertible if and only if ad - bc ‡ 0, in which case
A-¹
d -b
= ad-be [ - ]
a
(9)
Transcribed Image Text:THEOREM 2 Inverses of 2 x 2 Matrices The 2 x 2 matrix b A-[28] = C d is invertible if and only if ad - bc ‡ 0, in which case A-¹ d -b = ad-be [ - ] a (9)
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