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Statement -1 : if {:A=[(3,-3,4),(2,-3,4)...

Statement -1 : if `{:A=[(3,-3,4),(2,-3,4),(0,-1,1)]:}`, then adj(adj A)=A
Statement -2 If A is a square matrix of order n, then `adj(adj A)=absA^(n-2)A`

A

Statement -1 is True, Statement -2 is true, Statement -2 is a correct explanation for Statement-1.

B

Statement-1 is True, Statement -2 is True, Statement -2 is not a correct explanation for Statement -1.

C

Statement -1 is True, Statement -2 is False.

D

Statement -1 is False, Statement -2 is True.

Text Solution

Verified by Experts

The correct Answer is:
A
We have,
`abs(adj(adjA))=absA^((n-1)^2)`, If A is a squre matrix of order n.
If `{:A=[(3,-3,4),(2,-3,4),(0,-1,1)]:}`, then `absA=1`
`:. Adj(adj A)=absA^(n-2)A rArr adj(adj A)=A`.
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