Question

Given the following matrix, -1 -2 -4 -5 3 5 4 2 2 Perform the row operation 3R3, followed by the operation R3 − 2R1. What is the third row of the resulting matrix?
Problem #3:	Separate your entries with a comma. i.e., a,b,c

Answer 1

$\begin{pmatrix} 1 &-2 &-4 \\ -5& 3 &5 \\ 4& 2 & 2 \end{pmatrix}\\ Perform\: R_3\rightarrow 3R_3\\ \begin{pmatrix} 1 &-2 &-4 \\ -5& 3 &5 \\ 12& 6 & 6 \end{pmatrix}\\ Perform\: R_3\rightarrow R_3-2R_1\\ \begin{pmatrix} 1 &-2 &-4 \\ -5& 3 &5 \\ 12-2(-1)& 6-2(-2) & 6-2(-4) \end{pmatrix}\\ \begin{pmatrix} 1 &-2 &-4 \\ -5& 3 &5 \\ 14& 10 & 14 \end{pmatrix}\\ a,b,c \:will\:be \:\boldsymbol{14,10,14}\\$