TS EAMCET · Maths · Matrices
If the system of equations
\(\left[\begin{array}{ccc}\alpha & -1 & -1 \\ 1 & -\alpha & -1 \\ 1 & -1 & -\alpha\end{array}\right]\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{c}\alpha-1 \\ \alpha-1 \\ \alpha-1\end{array}\right]\) is inconsistent, then \(\alpha=\)
- A \(1\)
- B \(-2\)
- C \(-1\)
- D \(2\)
Answer & Solution
Correct Answer
(B) \(-2\)
Step-by-step Solution
Detailed explanation
For \(\alpha=1\), the system reduces to a homogeneous system which is always consistent. So, \(\alpha \neq 1\) For \(\alpha \neq 1\), we have…
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