If A=[a("ij")](4xx4), such that a("ij")=...

If `A=[a_("ij")]_(4xx4)`, such that `a_("ij")={(2",","when "i=j),(0",","when "i ne j):}`, then `{("det (adj (adj A))")/(7)}` is (where `{*}` represents fractional part function)

`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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CENGAGE-MATRICES-Exercise (Single)

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