AP EAMCET · Maths · Matrices
If \(\left[\begin{array}{rrr}1 & -1 & x \\ 1 & x & 1 \\ x & -1 & 1\end{array}\right]\) has no inverse, then the real value of \(x\) is
- A 2
- B 3
- C 0
- D 1
Answer & Solution
Correct Answer
(D) 1
Step-by-step Solution
Detailed explanation
If matrix has no inverse it means the value of determinant should be zero. \(\therefore \quad\left|\begin{array}{rrr} 1 & -1 & x \\ 1 & x & 1 \\ x & -1 & 1 \end{array}\right|=0\) If we put \(x=1\), then column Ist and IIIrd are identical. Hence, option (d) is correct.
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