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Question

Let A be an invertible 2 x 2 real matrix. If A-1 =then det(12A) equals:


A

-1728

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B

-1

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C

-12

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D

-1/2

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Solution

The correct option is C

-12


Let A-1 =B Therefore AB=I det (12A) = | 43 × 35 - 41×37| = 1505 - 1517

= - 12


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