If A=([a(i j)])(4xx4,) such that a(i j)=...

If `A=([a_(i j)])_(4xx4,)` such that `a_(i j)={2,w h e ni=j0,w h e ni!=j ,t h e n{("det"(a d j(a d jA)))/7}` is (where {.} represents fractional part function) `1//7` b. `2//7` c. `3//7` d. none of these

`1//7`

`2//7`

`3//7`

none of these

Text Solution

Verified by Experts

The correct Answer is:

From given data, `|A|=2^(4)`
`implies |"adj. (adj. A)"|=(2^(4))^(9)=2^(36)`
`implies {("det. (adj. (adj. A)))/(7)}={2^(36)/7}={((7+1)^(12))/7}=1/7`

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