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1. Vector V= left angle bracket -9, 2 right angle bracket is transformed using the transformation matrix A= [first row -4   1]

[second row -1  2]

 

What is the resulting vector? Show all your work.

 May 13, 2020
 #1
avatar+146 
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\(\begin{bmatrix} -4 & 1\\ -1 & 2 \end{bmatrix} \begin{bmatrix} -9\\ 2 \end{bmatrix}= -9 \begin{bmatrix} -4\\ -1 \end{bmatrix}+ 2 \begin{bmatrix} 1\\ 2 \end{bmatrix}= \begin{bmatrix} 36\\ 9 \end{bmatrix}+ \begin{bmatrix} 2\\ 4 \end{bmatrix}= \begin{bmatrix} 38\\ 13 \end{bmatrix}\)

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 May 13, 2020

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