1.

Select and write the most appropriate answer from the given alternatives in each of the following : If `A^(-1) = 1/3 {:((1,4,-2),(-2,-5,4),(1,-2,1)):} and |A| = 3`, then (adj A) = …A. `(1)/(9)[{:(1,4,-2),(-2,-5,4),(1,-2,1):}]`B. `[{:(1,2,1),(4,-5,-2),(-2,4,4):}]`C. `[{:(1,4,-2),(-2,-5,4),(1,-2,1):}]`D. `[{:(-1,-4,2),(2,5,-4),(1,-2,1):}]`

Answer» Correct Answer - C
Given, `A^(-1)=(1)/(3)[{:(1,4,-2),(-2,-5,4),(1,-2,1):}]and|A|=3`
We know that , `A^(-1)=(1)/(|A|)(adj.A)`
`therefore.A=|A|*A^(-1)`
`=(3)/(3)[{:(1,4,-2),(-2,-5,4),(1,-2,1):}]`
`=[{:(1,4,-2),(-2,-5,4),(1,-2,1):}]`
Hence ,the correct answer from the given alternative is


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