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Question Bank [2022] — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsQuestion Bank [2022]3 Marks
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 $A$
✓

Answer

$
A=\left[\begin{array}{ccc}
1 & 2 & -1 \\
3 & -2 & 5
\end{array}\right]
$
Applying $R_1 \leftrightarrow R_2$, we get
$
\left[\begin{array}{ccc}
3 & -2 & 5 \\
1 & 2 & -1
\end{array}\right]
$
Applying $C_1 \rightarrow C_1+2 C_3$, we get
$
\left[\begin{array}{ccc}
13 & -2 & 5 \\
-1 & 2 & -1
\end{array}\right]
$

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