Question

Use the specified row transformation to change the given matrix.-3R_2+R_3

Answer 1

We have the original matrix,

$\begin{bmatrix}{-3} & {1} & {-4} \\ {2} & {1} & {3} \\ {14} & {7} & {2}\end{bmatrix}$

We need to transform Row 3 by adding -3 times Row 2:

-3 times row 2 would be: -3*2 = -6 -3*1 = -3 -3*3 = -9

Now we add these values to row 3

$\begin{bmatrix}{-3} & {1} & {-4} \\ {2} & {1} & {3} \\ {14-6} & {7-3} & {2-9}\end{bmatrix}=\begin{bmatrix}{-3} & {1} & {4} \\ {2} & {1} & {3} \\ {8} & {4} & {-7}\end{bmatrix}$