Question

webwork / mat116-13m-fall2025 / quiz 9 / v1
test quiz 9,v1
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problem 2. (12 points)
perform the row operation \\(\frac{1}{2}r_1 \to r_1\\) on the matrix below.
\\(\

$$\begin{bmatrix} 6 & 8 &\\bigm| & 10 \\\\ 0 & 2 &\\bigm| & 4 \\end{bmatrix}$$

\xrightarrow{\frac{1}{2}r_1 \to r_1} \

$$\begin{bmatrix} \\square & \\square &\\bigm| & \\square \\\\ \\square & \\square &\\bigm| & \\square \\end{bmatrix}$$

\\)
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Explanation:

Step1: Identify Row 1 elements

The first row of the matrix is \( [6, 8, 10] \).

Step2: Apply the row operation \( \frac{1}{2}R_1 \)

Multiply each element of Row 1 by \( \frac{1}{2} \):

• \( 6\times\frac{1}{2} = 3 \)
• \( 8\times\frac{1}{2} = 4 \)
• \( 10\times\frac{1}{2} = 5 \)

Step3: Keep Row 2 unchanged

The second row is \( [0, 2, 4] \), so it remains the same.

Answer:

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