MHT CET202013 Oct 2020Morning ShiftMathematicsMatricesActual
If A= [ array ll 2 & 3 1 & 2 array ] and B= [ array cc 2 & -3 -1 & 2 array ] , then (B⁻¹ A⁻¹ )⁻¹=
Options
- A[ array cc 2 & 3 1 & -2 array ]
- B[ array ll 0 & 1 1 & 0 array ]
- C[ array ll 1 & 2 3 & 4 array ]
- D[ array ll 1 & 0 0 & 1 array ]
Correct answer
D. [ array ll 1 & 0 0 & 1 array ]
Step-by-step solution
( B ⁻¹ ~A ⁻¹ )⁻¹= ( A ⁻¹ )⁻¹ ( ~B ⁻¹ )⁻¹= AB AB = [ array ll 2 & 3 1 & 2 array ] [ array cc 2 & -3 -1 & 2 array ]= [ array cc 4-3 & -6+6 2-2 & -3+4 array ]= [ array ll 1 & 0 0 & 1 array ]