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How to formulate a transformation matrix for the following operation? Like all the examples I found are different and I can't understand how to solve this problem:

y=A.X

y = (y1 y2)'

x = (x1 'x2)

(y1 y2)' = (x1 x2)'

(-x1, x2)' = (-x1, -x2)'

condusait
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  • I'm having a hard time following exactly what your transformation is. But in general, the jth column of the transformation matrix for a transformation $T$ is $T(\mathbf{e_j})$. So the first thing you need to do is apply the transformation to each of the $e_j$'s. After that you're effectively done. – David Reed Nov 20 '17 at 00:51

1 Answers1

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For X gives the vector $(1,0)$ (as column) calculate corresponding $t$ vector using the given formula. That would be the first column of $A$. Now repeat the same with $X=(0,1)$ to get the second column of $A$.

P Vanchinathan
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