JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
Which of the following matrices can \(NOT\) be obtained from the matrix \(\left[\begin{array}{cc}-1 & 2 \\ 1 & -1\end{array}\right]\) by a single elementary row operation?
- A \(\left[\begin{array}{cc}0 & 1 \\ 1 & -1\end{array}\right]\)
- B \(\left[\begin{array}{cc}1 & -1 \\ -1 & 2\end{array}\right]\)
- C \(\left[\begin{array}{ll}-1 & 2 \\ -2 & 7\end{array}\right]\)
- D \(\left[\begin{array}{ll}-1 & 2 \\ -1 & 3\end{array}\right]\)
Answer & Solution
Correct Answer
(C) \(\left[\begin{array}{ll}-1 & 2 \\ -2 & 7\end{array}\right]\)
Step-by-step Solution
Detailed explanation
\(A=\left[\begin{array}{cc}-1 & 2 \\1 & -1\end{array}\right]\) \(R _{1} \rightarrow R _{1}+ R _{2} ;\left[\begin{array}{cc}0 & 1 \\ 1 & -1\end{array}\right]\) possible \(R _{1} \leftrightarrow R _{2} ;\left[\begin{array}{cc}1 & -1 \\ -1 & 2\end{array}\right]\) possible Option is…
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