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Statement-1 (Assertion and Statement- 2 ...

Statement-1 (Assertion and Statement- 2 (Reason)
Each of these questions also has four alternative
choices, only one of which is the correct answer. You
have to select the correct choice as given below.
Statement-1 Let A `2xx2` matrix A has determinant 2. If
`B= 9 A^(2)`, the determinant of `B^(T)` is equal to 36.
Statement- 2 If A, B and C are three square matrices
Such that `C= AB` then `abs(C) = abs(A) abs(B).`

A

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

B

Statement-1 is true, Statement-2 is true, Sttatement - 2
is not a correct explanation for Stamtement-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:
D
`because abs(A) =2`
`and B = 9A^(2)" " (given)`
`therefore abs(B) = abs(9A^(2)) = 9^(2) abs(A )^(2)`
`= 81 xx4 = 324 rArr abs(B^(T)) = abs(B) = 324`
Hence, Statement-1 is false but Statement-2 is true.
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