Software for Calculating Geometric Transformations

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phiby
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I am currently doing a course on Computer Graphics Algorithms. This involves lot of matrix transformations i.e. for eg - rotating co-ordinates, translating, reflecting etc.

I am solving the problems on paper using a calculator, but I need some software which will help me verify the solution (the calculations are very error prone with so many matrix multiplications)

i.e. I am looking for software where if I input "Reflect point (4,5) on line y = 3x + 12",
it will give me the reflected co-ordinates. Does anyone know of any free software which will help me with this?
 
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I don't know of any such software, but if there are some things that you need often, I would take up a math programming language and write down functions there, and call them as and when necessary.