# General transformation matrix

I am currently working through some of my maths assignment, and i have this question, and i can't work out what it means, and i am sure there is something to missing which would make this question make more sense, here is the question:

What is the general transformation matrix for a rotation of angle $\theta$ about the origin?

That is all the questions says, any one able to help me out, who may understand it better then me?

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## 1 Answer

The map which rotates any vector in the plane an angle $\theta$ around the origin is a linear map. Hence it can be given by multiplication by a matrix. What is this matrix?

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there isn't one given, that was the whole question, thats why i don't know how to solve it – Alex Trott Mar 20 '12 at 17:36
Well, you asked what the question means, not how to solve it. I answered that as best I could. – Harald Hanche-Olsen Mar 20 '12 at 17:37
ah right, when you said What is this matrix is made me think you hadn't fully answered it, but your do summarize it better then i could. Thanks for the help. – Alex Trott Mar 20 '12 at 17:42