If A is the 2 x 2 matrix given by a b A = and if ad - bc 0, the inverse is given by 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.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 78E
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If A is the 2 x 2 matrix given by
a b
A =
and if ad - bc # 0, the inverse is given by
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.)
Transcribed Image Text:If A is the 2 x 2 matrix given by a b A = and if ad - bc # 0, the inverse is given by 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.)
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