NDA2017MathematicsMatricesActual
If B is a non-singular matrix and A is a square matrix, then the value of det (B⁻¹ A B ) is equal to
Options
- Adet ( B )
- Bdet ( A )
- Cdet ( B ⁻¹ )
- Ddet ( A ⁻¹ )
Correct answer
B. det ( A )
Step-by-step solution
aligned & | B ⁻¹ AB |= | B ⁻¹ || A || B | & = 1 | ~B | | A || B | & =| A | aligned | B ⁻¹ |= 1 | ~B |