jee-main 2022 Q69

jee-main · India · session2_29jul_shift2 Matrices True/False or Multiple-Select Conceptual Reasoning

Which of the following matrices can NOT be obtained from the matrix $\begin{pmatrix} -1 & 2 \\ 1 & -1 \end{pmatrix}$ by a single elementary row operation?
(1) $\begin{pmatrix} 0 & 1 \\ 1 & -1 \end{pmatrix}$
(2) $\begin{pmatrix} 1 & -1 \\ -1 & 2 \end{pmatrix}$
(3) $\begin{pmatrix} -1 & 2 \\ -2 & 7 \end{pmatrix}$
(4) $\begin{pmatrix} -1 & 2 \\ -1 & 3 \end{pmatrix}$

Which of the following matrices can NOT be obtained from the matrix $\begin{pmatrix} -1 & 2 \\ 1 & -1 \end{pmatrix}$ by a single elementary row operation?\\
(1) $\begin{pmatrix} 0 & 1 \\ 1 & -1 \end{pmatrix}$\\
(2) $\begin{pmatrix} 1 & -1 \\ -1 & 2 \end{pmatrix}$\\
(3) $\begin{pmatrix} -1 & 2 \\ -2 & 7 \end{pmatrix}$\\
(4) $\begin{pmatrix} -1 & 2 \\ -1 & 3 \end{pmatrix}$

Paper Questions

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