AP EAMCET20227 Jul 2022Evening ShiftMathematicsMatricesActual

If A= [ array ccc 1 & -2 & 2 2 & -6 & 5 5 & 0 & 4 array ] , then Adj A=

Options

A[ array ccc -24 & 8 & 2 17 & -6 & -1 30 & -10 & 2 array ]
B[ array ccc -24 & 8 & 2 17 & -6 & 1 -30 & 10 & -2 array ]
C[ array ccc -24 & 8 & 2 17 & -6 & -1 30 & -10 & -2 array ]
D[ array ccc 24 & -8 & 2 -17 & -6 & 1 30 & -10 & -2 array ]

Correct answer

C. [ array ccc -24 & 8 & 2 17 & -6 & -1 30 & -10 & -2 array ]

Step-by-step solution

aligned A & = [ array ccc 1 & -2 & 2 2 & -6 & 5 5 & 0 & 4 array ] |A| & =1(-24)+2(8-25)+2(0+30) & =-24-34+60=2 aligned Cofactor matrix of A, C= [ array ccc -24 & 17 & 30 8 & -6 & -10 2 & -1 & -2 array ] Adj (A)=C^T= [ array ccc -24 & 8 & 2 17 & -6 & -1 30 & -10 & -2 array ]

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