Manipal MET2017MathematicsMatrices
If P= [ array rrr i & 0 & -i 0 & -i & i -i & i & 0 array ] and Q= [ array rr -i & i 0 & 0 i & -i array ] , then P Q is equal to
Options
- A[ array rr -2 & 2 1 & -1 1 & -1 array ]
- B[ array rr 2 & -2 -1 & 1 -1 & 1 array ]
- C[ array rr 2 & -2 -1 & 1 array ]
- D[ array lll 1 & 0 & 0 0 & 1 & 0 0 & 0 & 1 array ]
Correct answer
B. [ array rr 2 & -2 -1 & 1 -1 & 1 array ]
Step-by-step solution
aligned & P Q= [ array rrr i & 0 & -i 0 & -i & i -i & i & 0 array ] [ array rr -i & i 0 & 0 i & -i array ] & = [ array cc -i^2-i^2 & i^2+i^2 0+0+i^2 & -i^2 i^2 & -i^2 array ]= [ array rr 2 & -2 -1 & 1 -1 & 1 array ] aligned