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If A is a square matrix of order 3 such that `det(A)=(1)/(sqrt(3))` then `det(Adj(-2A^(-2)))` is equal toA. 24B. 16C. 576D. 144 |
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Answer» Correct Answer - C `therefore|Adj(-2A^(-2))|=|-2A^(-2)|^(2)` ...(1) `because|-2A^(2)|=(-2)^(3)|A^(-2)|=(-8)|A^(-1))^(2))(-8)|A^(-1)|^(2)` `=(-8)((1)/(|A|))^(2)=(-8)xx(1)/((1)/(3))=-24` `therefore` from equation (1) `|Adj(-2A^(-2))|=(-24)^(2)=576` |
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