TS EAMCET · Maths · Matrices
For a system of simultaneous linear equations, if \(A X=\left[\begin{array}{l}1 \\ 1 \\ 2\end{array}\right], \operatorname{Adj} A=\left[\begin{array}{ccc}1 & -1 & -1 \\ 1 & 1 & -1 \\ 1 & 1 & 1\end{array}\right]\) and \(\operatorname{det} A>0\), then \(X=\)
- A \(\left[\begin{array}{c}-1 \\ 0 \\ 2\end{array}\right]\)
- B \(\left[\begin{array}{l}1 \\ 1 \\ 2\end{array}\right]\)
- C \(\left[\begin{array}{c}0 \\ -1 \\ -1\end{array}\right]\)
- D \(\left[\begin{array}{l}2 \\ 1 \\ 1\end{array}\right]\)
Answer & Solution
Correct Answer
(A) \(\left[\begin{array}{c}-1 \\ 0 \\ 2\end{array}\right]\)
Step-by-step Solution
Detailed explanation
Given \(A X=\left[\begin{array}{l}1 \\ 1 \\ 2\end{array}\right]\), Adj. \(A=\left[\begin{array}{ccc}1 & -1 & -1 \\ 1 & 1 & -1 \\ 1 & 1 & 1\end{array}\right]\) Take, \(\mathrm{AX}=\left[\begin{array}{l}1 \\ 1 \\ 2\end{array}\right]\) Multiply both side by \(\mathrm{A}^{-1}\)…
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