Question

[1, 3, -1 | 2; 2, 5, 2 | 3; -3, -4, 6 | 0] perform the row operations and write resulting matrix. -2R1 +R2 -> R2 & 3R1+R3 -> R3

Answer 1

Answer:

$\left[\begin{array}{ccc}1&3&-1\\0&-1&4\\0&5&3\end{array}\right]$:$\left[\begin{array}{ccc}2\\0\\6\end{array}\right]$

Step-by-step explanation:

We are given a matrix

Let A=$\left[\begin{array}{ccc}1&3&-1\\2&5&2\\-3&-4&6\end{array}\right]$

and B=$\left[\begin{array}{ccc}2\\2\\0\end{array}\right]$

We have to find the resulting matrix after performing given row operations

Apply $R_2\rightarrow R_2-2R_1$

$\left[\begin{array}{ccc}1&3&-1\\0&-1&4\\-3&-4&6\end{array}\right]$:$\left[\begin{array}{ccc}2\\0\\0\end{array}\right]$

Again apply $R_3\rightarrow R_3+3R_1$

$\left[\begin{array}{ccc}1&3&-1\\0&-1&4\\0&5&3\end{array}\right]$:$\left[\begin{array}{ccc}2\\0\\6\end{array}\right]$

Hence, resulting matrix

$\left[\begin{array}{ccc}1&3&-1\\0&-1&4\\0&5&3\end{array}\right]$:$\left[\begin{array}{ccc}2\\0\\6\end{array}\right]$