Transform [ ccc 1 & 2 & 4 3 & -1 & 5 2 & 4 & 6 ] into an upper tr… - Vidyadip

Question

Transform $\left[\begin{array}{ccc}1 & 2 & 4 \\ 3 & -1 & 5 \\ 2 & 4 & 6\end{array}\right]$ into an upper triangular matrix by using suitable row transformations

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Answer

Let $A=\left[\begin{array}{ccc}1 & 2 & 4 \\ 3 & -1 & 5 \\ 2 & 4 & 6\end{array}\right]$
Applying $R_2 \rightarrow R_2-3 R_1$ and $R_3 \rightarrow R_3-2 R_1$, we get
$
\left[\begin{array}{ccc}
1 & 2 & 4 \\
0 & -7 & -7 \\
0 & 0 & -2
\end{array}\right]
$
This is required upper triangular matrix.

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