Question

Use the specified row transformation to change the given matrix for Row 3-2R_2+R_3

Answer 1

Answer:$\begin{gathered} R_3\colon-2R_2+R_3 \\ \begin{bmatrix}{-4} & 1 & {-5} \\ {3} & {1} & {4} \\ {4} & {3} & {-3}\end{bmatrix} \end{gathered}$

Explanation:

Transformation of Row 3:

$\begin{gathered} \begin{bmatrix}{-4} & 1 & {-5} \\ {3} & {1} & {4} \\ {10} & {5} & {3}\end{bmatrix} \\ \\ R_3\colon-2R_2+R_3 \\ \begin{bmatrix}{-4} & 1 & {-5} \\ {3} & {1} & {4} \\ {4} & {3} & {-3}\end{bmatrix} \end{gathered}$