Question

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 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

Answer 1

Correct Answer - B
`abs(adjA) = abs(A)^(n-1) = abs(A)^(2-1)=abs(A)`
`adj ("adj A")=abs(A)^(n-2)A`
`=abs(A)^(2-2) A= abs(A)^(0) A = A`