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I am preparing for a computer 3D graphics test and have a sample question which I am unable to solve.

The question is as follows:

For the following 3D transfromation matrix M, find its inverse. Note that M is a composite matrix built from fundamental geometric affine transformations only. Show the initial transformation sequence of M, invert it, and write down the final inverted matrix of M.

$M =\begin{pmatrix}0&0&1&5\\0&3&0&3\\-1&0&0&2\\0&0&0&1\end{pmatrix} $

I only know basic linear algebra and I don't think it is the purpose to just invert the matrix but to use the information in the question to solve this.

Can anyone help?

Thanks

  • 0
    What are the fundamental affine transformations you are referring to? permutation matrices and scaling matrices, maybe?2012-06-01
  • 0
    translation-, scaling- and rotation-matrices2012-06-01
  • 0
    The use of these 4x4 matrices in 3D graphics is somewhat specialized from ordinary matrix operations. Please see [my explanation for a previous Question](http://math.stackexchange.com/a/89937/3111) about the way it is used.2012-06-01

3 Answers 3