Let A be a 3 × 3 matrix such that adj A = [ 2 - 1 1 - 1 0 2 1 - 2 - 1 ] and B = adj(adj A). If |A| = λ and |(B⁻¹)^(T)| = μ, then the ordered pair, (| λ |, μ) is equal to:

Matrices and Determinants: JEE Main 2020 Mathematics question

JEE Main 2020 · 3 Sep, Evening shift · Q4523

JEE Main 20203 Sep, Evening shiftMathematicsHardMatrices and Determinants245× since 2002

Let A be a 3

\times

3 matrix such that adj A =

\left[ {\matrix{ 2 & { - 1} & 1 \cr { - 1} & 0 & 2 \cr 1 & { - 2} & { - 1} \cr } } \right]

and B = adj(adj A). If |A| =

\lambda

and |(B⁻¹)^T| =

\mu

, then the ordered pair, (|

\lambda

\mu

) is equal to :