Resource: Linear Algebra (4th Edition) -David C. Lay(adsbygoogle = window.adsbygoogle || []).push({});

I understand that there are identities associated with transformations, but what I don't understand is when the transformation is rotated about the origin through an angle β. I believe β in this case is [itex]\frac{}{}\pi/2[/itex]

[itex]\left[1,0\right][/itex] into [cos([itex]\beta[/itex]) , sin([itex]\beta[/itex])]

[itex]\left[0,1\right][/itex] into [-sin([itex]\beta[/itex]), cos([itex]\beta[/itex])]

Can someone please explain to me why this is the case? Why do these values suddenly translate to trig identities?

Thanks!

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# Linear Transformation involving pi/2

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