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Select and write the most appropriate answer from the given alternatives in each of the following :
If `A = {:((0,1,2),(1,2,3),(3,a,1)):} and A^(-1) = 1/2 {:((1,-1,1),(-8,6,2c),(5,-3,1)):}` then

A

`a=2,c=-1//2`

B

`a=1,c=-1`

C

`a=1,c=1`

D

`a=1//2,c=1//2`

Text Solution

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The correct Answer is:
B
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[{:(,0,1,2),(,1,2,3),(,3,a,1):}],=A^(-1)=[{:(,1//2,-1//2,1//2),(,-4,3,c),(,5//2,-3//2,1//2):}] then find vales of a&c.

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