What is the vector that results from transforming a⃗ by the transformation matrix?
a⃗=[ 3 ] [7 3]
[−1] B= [−6 −4]
+26367 What is the vector that results from transforming \(\vec{a}\) by the transformation matrix?
\(\vec{a} = \dbinom{3}{-1}\)
\(B = \begin{pmatrix} 7 & 3 \\ -6 & -4 \end{pmatrix}\)
My attempt:
\(\begin{array}{|rcll|} \hline \mathbf{\vec{a}B} &=& \mathbf{\dbinom{3}{-1}\begin{pmatrix} 7 & 3 \\ -6 & -4 \end{pmatrix}} \\\\ \vec{a}B &=& \dbinom{3*7+(-1)*(-6)}{3*3+(-1)(-4)} \\\\ \mathbf{\vec{a}B} &=& \mathbf{\dbinom{27}{13}} \\ \hline \end{array}\)
