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Matrices (p-1) — Maths (commerce) STD 12 Commerce / Arts — Question

Maharashtra BoardEnglish MediumSTD 12 Commerce / ArtsMaths (commerce)Matrices (p-1)1 Mark
Question
Apply the given elementary transformation on each of the following matrices : $\left[\begin{array}{ccc}3 & 1 & -1 \\ 1 & 3 & 1 \\ -1 & 1 & 3\end{array}\right] 3 R _2$ and $C _2 \rightarrow C _2-4 C _1$
✓

Answer

Let $C=\left(\begin{array}{rrr}3 & 1 & -1 \\ 1 & 3 & 1 \\ -1 & 1 & 3\end{array}\right)$
By $3 R_2$, we get
$
C \sim\left[\begin{array}{rrr}
3 & 1 & -1 \\
3 & 9 & 3 \\
-1 & 1 & 3
\end{array}\right]
$
By $C_2-4 C_1$ on $C$, we get
$
C \sim\left(\begin{array}{rrr}
3 & -11 & -1 \\
1 & -1 & 1 \\
-1 & 5 & 3
\end{array}\right)
$

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