Chapter 12.4, Problem 7CP

Use the code developed in Computer Problem 6 to find the full SVD of the following matrices, and compare your results with MATLAB’s svd command (your answer should agree up to the choice of minus signs in $u_i,v_i$

):

$\begin{array}{l}\text{a}\text{. }\left[\begin{array}{ccc}1& 3& 0\\ 4& 5& 0\\ 2& 5& 3\end{array}\right]\\ \text{b}\text{. }\left[\begin{array}{l}\begin{array}{cccc}1& 0& 2& 4\end{array}\\ \begin{array}{cccc}1& 1& 1& 3\end{array}\end{array}\right]\\ \text{c}\text{. }\left[\begin{array}{ccc}0& 3& 1\\ 2& -1& 3\\ 0& 1& -1\end{array}\right]\\ \text{d}\text{. }\left[\begin{array}{cccc}0& 1& 3& 1\\ -1& 1& 1& 0\\ 0& 1& 3& -1\\ 2& -1& -1& 2\end{array}\right]\end{array}$