Use suitable transformation on [ ll 1 & 2 3 & 4 ] into an upper t… - Vidyadip

Question

Use suitable transformation on $\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]$ into an upper triangular matrix.

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Answer

Let $A=\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]$

By $R_2-3 R_1$, we get,

$A \sim\left[\begin{array}{rr}1 & 2 \\ 0 & -2\end{array}\right]$

This is an upper triangular matrix.

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