Question

Fill in the blank by performing the indicated elementary row operation(s).
6
1
5
-6R2+R
1
-5
0
Answer 7 Points
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Answer 1

In this question, we are given a matrix, and we have to perform the given operation.

The matrix is:

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

The following operation is given:

$R_1 \rightarrow -6R_2 + R_1$

In which $R_1$ is the element at the first line and $R_2$ is the element at the second line.

Updating the first line:

$R_{1,1} = -6*1 + 6 = 0$

$R_{1,2} = -6*-5 - 1 = 30 - 1 = 29$

$R_{1,3} = -6*0 + 5 = 5$

Thus, the filled matrix will be given by:

$\left[\begin{array}{ccc}0&29&|5\\1&-5&|0\end{array}\right]$

For another example where row operations are applied on a matrix, you can check https://brainly.com/question/18546657