MHT CET202123 Sep 2021Morning ShiftMathematicsMatricesActual
If A= [ array ll 2 & -2 2 & -3 array ], B= [ array cc 0 & -1 1 & 0 array ] , then (B⁻¹ A⁻¹ )⁻¹= ?
Options
- AA= [ array ll -2 & -2 -3 & -2 array ]
- BA= [ array cc 2 & 2 -2 & -3 array ]
- CA= [ array cc 3 & -2 2 & 2 array ]
- DA= [ array cc 1 & -1 -2 & 3 array ]
Correct answer
A. A= [ array ll -2 & -2 -3 & -2 array ]
Step-by-step solution
aligned & (B⁻¹ A⁻¹ )⁻¹= (A⁻¹ )⁻¹ (B⁻¹ )⁻¹=A B & (B⁻¹ A⁻¹ )⁻¹= [ array ll 2 & -2 2 & -3 array ] [ array cc 0 & -1 1 & 0 array ]= [ array ll -2 & -2 -3 & -2 array ] aligned