Which of the following matrices can NOT be obtained from the matrix - 1 2 1 - 1 by a single elementary row operation?

Given A = - 1 2 1 - 1 (1) R 1 → R 1 + R 2 0 1 1 - 1 (2) R 1 ↔ R 2 1 - 1 - 1 2 (3) Option is not possible (4) R 2 → R 2 + 2 R 1 - 1 2 - 1 3

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Mathematics - Matrices Question with Solution | TestHub

MathematicsMatricesGeneralEasy2 minPYQ_2022

MathematicsEasysingle choice

Which of the following matrices can NOT be obtained from the matrix $[\begin{matrix} - 1 & 2 \\ 1 & - 1 \end{matrix}]$ by a single elementary row operation?

Options:

Answer:

Solution:

Given $A = [\begin{matrix} - 1 & 2 \\ 1 & - 1 \end{matrix}]$
(1) $R_{1} \to R_{1} + R_{2}$
$[\begin{matrix} 0 & 1 \\ 1 & - 1 \end{matrix}]$
(2) $R_{1} \leftrightarrow R_{2}$
$[\begin{matrix} 1 & - 1 \\ - 1 & 2 \end{matrix}]$
(3) Option is not possible
(4) $R_{2} \to R_{2} + 2 R_{1}$
$[\begin{matrix} - 1 & 2 \\ - 1 & 3 \end{matrix}]$

Stream:JEESubject:MathematicsTopic:MatricesSubtopic:General

⏱ 2mℹ️ Source: PYQ_2022

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