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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
avatar+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:

 

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

 

laugh

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

this isnt how matrix multiplication works

Guest May 20, 2020
 #3
avatar+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

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