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If $[\begin{array}{ll} 2 1 \\ 7 4 \end{array}] A [\begin{array}{rr} - 3 2 \\ 5 - 3 \end{array}] = [\begin{array}{ll} 1 0 \\ 0 1 \end{array}]$ , then matrix A equals

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75−11−8

2 15 3

71345

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detailed solution

Correct option is A

If XAY=I, then A=X−1Y−1=(YX)−1 In this case YX=−325−32 17 4=85−11−7∴ A=85−11−7−1=75−11−8

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If 2 17 4A−3 25 −3=1 00 1, then matrix A equals

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If $[\begin{array}{ll} 2 1 \\ 7 4 \end{array}] A [\begin{array}{rr} - 3 2 \\ 5 - 3 \end{array}] = [\begin{array}{ll} 1 0 \\ 0 1 \end{array}]$ , then matrix A equals