NDA2019MathematicsMatricesActual
If B= [ array lll 3 & 2 & 0 2 & 4 & 0 1 & 1 & 0 array ] , then what is adjoint of B equal to?
Options
- A[ array ccc 0 & 0 & 0 0 & 0 & 0 -2 & -1 & 8 array ]
- B[ array ccc 0 & 0 & -2 0 & 0 & -1 0 & 0 & 8 array ]
- C[ array lll 0 & 0 & 2 0 & 0 & 1 0 & 0 & 0 array ]
- DIt does not exist
Correct answer
A. [ array ccc 0 & 0 & 0 0 & 0 & 0 -2 & -1 & 8 array ]
Step-by-step solution
B= [ array lll 3 & 2 & 0 2 & 4 & 0 1 & 1 & 0 array ] C factor matrix of aligned & B= [ array ccc (4)(0)-(0)(1) & -[(2)(0)-(0)(1)] & (2)(1)-(4)(1) -[2(0)-(0)(1)] & 3(0)-(0)(1) & -[(3)(1)-(2)(1)] 2(0)-0(4) & -[3(0)-2(0)] & 3(4)-2(2) array ] & = [ array ccc 0 & 0 & -2 0 & 0 & -1 0 & 0 & 8 array ] & Adjoint B= [ array ccc 0 & 0 & 0 0 & 0 & 0 -2 & -1 & 8 array ] aligned