If A is the 2 × 2 matrix given by a b A = and if ad – bc # 0, the inverse is given by 1 d -b A-1 ad - bc -c a Use the formula above to find the inverse of the 2 x 2 matrix (if it exists). (If an answer does not exist, enter DNE in any single blank.) 12 -5

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.CR: Chapter Review
Problem 9CC
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If A is the 2 × 2 matrix given by
a b
A =
and if ad – bc ± 0, the inverse is given by
1
d -b
A-1
ad - bc
-c
a
Use the formula above to find the inverse of the 2 x 2 matrix (if it exists). (If an answer does not exist, enter DNE in any single blank.)
-3
12 -5
Transcribed Image Text:If A is the 2 × 2 matrix given by a b A = and if ad – bc ± 0, the inverse is given by 1 d -b A-1 ad - bc -c a Use the formula above to find the inverse of the 2 x 2 matrix (if it exists). (If an answer does not exist, enter DNE in any single blank.) -3 12 -5
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