Question

Which of the following is the result of the operation below?

Answer 1

Answer:

The result of the operation is:

$\left[\begin{array}{ccc|c}1&2&3&6\\0&-1&-2&-8\\0&2&1&5\end{array}\right]$

Step-by-step explanation:

The matrix provided is:

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

The operation to be performed is:

$-R_{1}+R_{2}$ → $R_{2}$

The operation implies that, we need to replace the values in row 2 by the result of the expression ($-R_{1}+R_{2}$).

Complete the operation as follows:

$\left[\begin{array}{ccc|c}1&2&3&6\\1&1&1&-2\\0&2&1&5\end{array}\right]\rightarrow \ \left[\begin{array}{ccc|c}1&2&3&6\\(-1+1)&(-2+1)&(-3+1)&(-6-2)\\0&2&1&5\end{array}\right]$

                            $\rightarrow\ \left[\begin{array}{ccc|c}1&2&3&6\\0&-1&-2&-8\\0&2&1&5\end{array}\right]$

Thus, the result of the operation is:

$\left[\begin{array}{ccc|c}1&2&3&6\\0&-1&-2&-8\\0&2&1&5\end{array}\right]$