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Matrics — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsMatrics1 Mark
Question
If $A=\left[\begin{array}{ccc}1 & 2 & -1 \\ 3 & -2 & 5\end{array}\right]$, apply $R_1 \leftrightarrow R_2$ and then $C_1 \rightarrow C_1+2 C_3$ on $A$.
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Answer

$A=\left[\begin{array}{ccc} 1 & 2 & -1 \\ 3 & -2 & 5\end{array}\right]$
$R_1 \leftrightarrow R_2$ gives
$A \sim\left[\begin{array}{ccc} 3 & -2 & 5 \\ 1 & 2 & -1 \end{array}\right]$
Now $C_1 \rightarrow C_1+2 C_3$ gives
$A \sim\left[\begin{array}{ccc} 3+2(5) & -2 & 5 \\ 1+2(-1) & 2 & -1 \end{array}\right]$
$ \therefore A \sim\left[\begin{array}{ccc} 13 & -2 & 5 \\ -1 & 2 & -1\end{array}\right]$

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