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Let A be a 2xx2 matrix Statement -1 ad...

Let A be a `2xx2` matrix
Statement -1 adj `(adjA)=A`
Statement-2 `abs(adjA) = abs(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 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

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The correct Answer is:
B
`|"adj A"|=|A|^(n-1)=|A|^(2-1)=|A|`
adj (adj A)`=|A|^(n-2) A=|A|^(0) A=A`
Thus both statements are true, but statement 2 is not correct explanation of statement 1.
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