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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):}]` |
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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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