AP EAMCET · Maths · Determinants
If \(A X=D\) represents the system of simultaneous linear equations \(x+y+z=6\), \(5 x-y+2 z=3\) and \(2 x+y-z=-5\), then \((\operatorname{Adj} A) D=\)
- A \(\left[\begin{array}{c}-15 \\ 30 \\ 75\end{array}\right]\)
- B \(\left[\begin{array}{c}32 \\ 64 \\ -160\end{array}\right]\)
- C \(\left[\begin{array}{c}-16 \\ 32 \\ 80\end{array}\right]\)
- D \(\left[\begin{array}{l}12 \\ 24 \\ 60\end{array}\right]\)
Answer & Solution
Correct Answer
(A) \(\left[\begin{array}{c}-15 \\ 30 \\ 75\end{array}\right]\)
Step-by-step Solution
Detailed explanation
The given system of equation is \(5 x-y+2 z=3, x+y+z=6\) and \(2 x+y-z=-5\) In matrix form, if may be represented as where \(A=\left[\begin{array}{ccc}1 & 1 & 1 \\ 5 & -1 & 2 \\ 2 & 1 & -1\end{array}\right], x=\left[\begin{array}{l}x \\ y \\ z\end{array}\right]\) and…
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