If $$A=2$$ $$2$$ $$11$$ $$3$$ $$11$$ $$2$$ $$2$$ then A−$$1+(A$$−$$5I)(A$$−$$I)2=$$

Correct option is 1154−2−1−13−1−1−24

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$If A = [\begin{array}{lll} 2 2 1 \\ 1 3 1 \\ 1 2 2 \end{array}] then A^{- 1} + (A - 5 I) (A - I)^{2} =$

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154−2−1−13−1−1−24

15−42−1−13−1−124

421131124

15−4−211311−2−4

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detailed solution

Correct option is A

(A−I)2=121121121121121121=484484484(A−5I)(A−I)2=−3211−2112−3484484484=000000000=0det⁡A=2(6−2)−2(2−1)+1(2−3)=8−2−1=5A−1=15( Adj A)=154−2−1−13−1−1−24

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If A=2 2 11 3 11 2 2 then A−1+(A−5I)(A−I)2=

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$If A = [\begin{array}{lll} 2 2 1 \\ 1 3 1 \\ 1 2 2 \end{array}] then A^{- 1} + (A - 5 I) (A - I)^{2} =$