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AP EAMCET · Maths · Matrices

If \(A=\left[\begin{array}{ccc}1 & -2 & 2 \\ 2 & -6 & 5 \\ 5 & 0 & 4\end{array}\right]\), then \(\operatorname{Adj} A=\)

  1. A \(\left[\begin{array}{ccc}-24 & 8 & 2 \\ 17 & -6 & -1 \\ 30 & -10 & 2\end{array}\right]\)
  2. B \(\left[\begin{array}{ccc}-24 & 8 & 2 \\ 17 & -6 & 1 \\ -30 & 10 & -2\end{array}\right]\)
  3. C \(\left[\begin{array}{ccc}-24 & 8 & 2 \\ 17 & -6 & -1 \\ 30 & -10 & -2\end{array}\right]\)
  4. D \(\left[\begin{array}{ccc}24 & -8 & 2 \\ -17 & -6 & 1 \\ 30 & -10 & -2\end{array}\right]\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\left[\begin{array}{ccc}-24 & 8 & 2 \\ 17 & -6 & -1 \\ 30 & -10 & -2\end{array}\right]\)

Step-by-step Solution

Detailed explanation

\[ \begin{aligned} A & =\left[\begin{array}{ccc} 1 & -2 & 2 \\ 2 & -6 & 5 \\ 5 & 0 & 4 \end{array}\right] \\ |A| & =1(-24)+2(8-25)+2(0+30) \\ & =-24-34+60=2 \end{aligned} \] Cofactor matrix of…