+0

What is the vector that results from transforming a⃗ by the transformation matrix?

-1
128
3

What is the vector that results from transforming a⃗ by the transformation matrix?

a⃗=[ 3 ]               [7    3]

[−1]         B= [−6 −4]

May 20, 2020

#1
+25543
+1

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:

$$\begin{array}{|rcll|} \hline \mathbf{\vec{a}B} &=& \mathbf{\dbinom{3}{-1}\begin{pmatrix} 7 & 3 \\ -6 & -4 \end{pmatrix}} \\\\ \vec{a}B &=& \dbinom{3*7+(-1)*(-6)}{3*3+(-1)(-4)} \\\\ \mathbf{\vec{a}B} &=& \mathbf{\dbinom{27}{13}} \\ \hline \end{array}$$

May 20, 2020
edited by heureka  May 20, 2020
#2
0

this isnt how matrix multiplication works

Guest May 20, 2020
#3
+30926
+2

Assuming the overbar on 'a' just indicates it's a vector, and doesn't mean transpose, then:

May 20, 2020
edited by Alan  May 20, 2020