MHT CET202122 Sep 2021Evening ShiftMathematicsMatricesActual
If A= [ array ccc 1 & 2 & 1 -1 & 1 & 3 array ] and B= [ array cc 1 & 2 -3 & 1 0 & 2 array ] , then (A B)⁻¹
Options
- A[ array cc 5 & -6 -4 & 5 array ]
- B[ array ll 5 & 6 4 & 5 array ]
- C[ array ll -5 & 6 -4 & 5 array ]
- D[ array ll -5 & -6 -4 & -5 array ]
Correct answer
C. [ array ll -5 & 6 -4 & 5 array ]
Step-by-step solution
aligned & AB = [ array ccc 1 & 2 & 1 -1 & 1 & 3 array ] [ array cc 1 & 2 -3 & 1 0 & 2 array ] & = [ array cc 1-6+0 & 2+2+2 -1-3+0 & -2+1+6 array ]= [ array ll -5 & 6 -4 & 5 array ] & | AB |= [ array cc 5 & -6 4 & -5 array ] & ( AB )⁻¹= [ array cc 5 & -6 4 & -5 array ] (-1) = [ array ll -5 & 6 -4 & 5 array ] aligned