Singular Value Decomposition Example

Hello. I was wondering if someone could perform a singular value decomposition with every single step laid out for me? I found an example of an SVD online, but some steps are skipped on this document.

If $A$ is a matrix, then I understand how to find the eigenvalues and singular values of $AA^T$ . However, the following row-reduction and other following steps confuse me due to my lacking linear algebra skills. 

If the link doesn't work, the problem requests one to find the SVD, $A\Sigma V^T$, of $\begin{pmatrix} 3 & 2 & 2 \\ 2 & 3 & -2 \end{pmatrix} $ 


Answers can be viewed only if
  1. The questioner was satisfied and accepted the answer, or
  2. The answer was disputed, but the judge evaluated it as 100% correct.
View the answer

1 Attachment

The answer is accepted.