QJEEM22Maf1f6: JEE Main 2022 Mathematics - Class 12 JEEM22Maf1f6 Solution: Which of the following matrices can NOT be obtained from the…

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QJEEM22Maf1f6: JEE Main 2022 Mathematics - Class 12 JEEM22Maf1f6 Solution: Which of the following matrices can NOT be obtained from the…

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

Multiple Choice Options

A [011−1]
B [1−1−12]
C [−12−27]
D [−12−13]

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Accepted Answer

Given matrix $A = [\begin{matrix} - 1 & 2 \\ 1 & - 1 \end{matrix}]$

For option A :

$R_{1} \to R_{1} + R_{2}$

$A = [\begin{matrix} 0 & 1 \\ 1 & - 1 \end{matrix}]$

$∴$ Option A can be obtained.

For option B :

$R_{1} \leftrightarrow R_{2}$

$A = [\begin{matrix} 1 & - 1 \\ - 1 & 2 \end{matrix}]$

$∴$ Option B can be obtained.

Option C :

Not possible by a single elementary row operation.

Option D :

$R_{2} \to R_{2} + 2 R_{1}$

$A = [\begin{matrix} - 1 & 2 \\ - 1 & 3 \end{matrix}]$

$∴$ Option D can be obtained.

QJEEM22Maf1f6: JEE Main 2022 Mathematics - Class 12 JEEM22Maf1f6 Solution: Which of the following matrices can NOT be obtained from the…

Multiple Choice Options

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