If $$A=1$$−$$230$$−$$14$$−$$221$$, then AT−$$1=$$

Correct option is 2−9−8−2872−5−4−1

Questions

$If A = [\begin{array}{ccc} 1 & - 2 & 3 \\ 0 & - 1 & 4 \\ - 2 & 2 & 1 \end{array}], then {(A^{T})}^{- 1} =$

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−98−5−87−4−22−1

−9−8−2872−5−4−1

10−2−2−12341

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detailed solution

Correct option is B

det A=1−1−8+20+8+30−2=−9+16−6=1A−1=AdjAdetA=AdjA=−98−5−87−4−22−1 =−9−8−2872−5−4−1 AT−1 =A−1T

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If A=1−230−14−221, then AT−1=

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$If A = [\begin{array}{ccc} 1 & - 2 & 3 \\ 0 & - 1 & 4 \\ - 2 & 2 & 1 \end{array}], then {(A^{T})}^{- 1} =$