Let A be a 3 3 matrix such that adj A=(2-11-1021-2-1)and B= adj ( adjA ). If (A )= and ( (B^-1 )^T )= , then the ordered pair, ( ( ) , ) is equal to:

Question

Accepted Answer

Correct answer: C. (c) JEE Main 2020 ( adjA )=2 (4 )+1(1-2)+1 (2 ) ( adjA )=9 And ( adjA )= (A )^n-1=9 ⇒ ^2=9 ⇒ = 3 ( ∵ (A )= ) Now (B )= ( adj ( adjA ) )= (A )^(n-1)^2= ^4=3^4=81 Now = ( (B^-1 )^T )= ( (B^T )^-1 )= ( (B^T ) )^-1= (B )^-1= 1 (B )= 181 So, ( ( ) , )= (3 , 181 )

$Let A be a 3 \times 3 matrix such that adj A = (2 - 11 - 1021 - 2 - 1) and B = adj (adj A) . If (A) = λ and ((B^{- 1})^{T}) = μ, then the ordered pair, ((λ), μ) is equal to:$

Solution

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