TS EAMCET · Maths · Matrices
If rank of \(\left(\begin{array}{ccc}x & x & x \\ x & x^2 & x \\ x & x & x+1\end{array}\right)\) is 1, then
- A \(x=0\) or \(x=1\)
- B \(x=1\)
- C \(x=0\)
- D \(x \neq 0\)
Answer & Solution
Correct Answer
(C) \(x=0\)
Step-by-step Solution
Detailed explanation
\(A=\left(\begin{array}{ccc}x & x & x \\ x & x^2 & x \\ x & x & x+1\end{array}\right)\) Since, rank \(A=1\), therefore atleast one deteminant of order 1 should be non-zero and all the determinants of order 2 and 3 should be zero. If \(x=0\), then…
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