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For a invertible matrix A if `A(adjA)=[(10,0),(0,10)]`, then |A|=A. `100`B. `-100`C. `-100`D. `10` |
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Answer» Correct Answer - C Given , `A (adj A) = |{:(10,0),(0,10):}| = 10 |{:(1,0),(0,1):}| = 10l` We know that, `A` (adj A) = `|A| l` On comparing both sides , we get `|A| = 10` |
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