KCET2021MathematicsMatrices
If A= [ array ccc 1 & -2 & 1 2 & 1 & 3 array ] B= [ array ll 2 & 1 3 & 2 1 & 1 array ] , then (A B)^ is equal to
Options
- A[ array cc -3 & -2 10 & 7 array ]
- B[ array cc -3 & 10 -2 & 7 array ]
- C[ array ll -3 & 7 10 & 2 array ]
- D[ array cc -3 & 7 10 & -2 array ]
Correct answer
B. [ array cc -3 & 10 -2 & 7 array ]
Step-by-step solution
Given, A= [ array ccc 1 & -2 & 1 2 & 1 & 3 array ], B= [ array ll 2 & 1 3 & 2 1 & 1 array ] aligned A B &= [ array ccc 1 & -2 & 1 2 & 1 & 3 array ] [ array ll 2 & 1 3 & 2 1 & 1 array ] &= [ array cc 2-6+1 & 1-4+1 4+3+3 & 2+2+3 array ] &= [ array cc -3 & -2 10 & 7 array ] A B^ &= [ array cc -3 & 10 -2 & 7 array ] aligned