Problem

Problem

If

A

is matrix of order 3 such that

|A| = 5

and

B = \text{adj } A

, then the value of

|A^{-1}(AB)^T|

is equal to (where

|A|

denotes determinant of matrix

A

,

A^T

denotes transpose of matrix

A

,

A^{-1}

denotes inverse of matrix

A

,

\text{adj } A

denotes adjoint of matrix

A

) (a) 5 (b) 1 (c) 25 (d)

\frac{1}{25}

Browse the problem library