Chapter 7.4, Problem 9E

Find an SVD of each matrix in Exercises 5–12. [Hint: In Exercise 11, one choice for U is $\left[\begin{array}{ccc}-1/3& 2/3& 2/3\\ 2/3& -1/3& 2/3\\ 2/3& 2/3& -1/3\end{array}\right]$. In Exercise 12, one column of U can be $\left[\begin{array}{c}1/\sqrt{6}\\ -2/\sqrt{6}\\ 1/\sqrt{6}\end{array}\right]$.]

9. $\left[\begin{array}{cc}3& -3\\ 0& 0\\ 1& 1\end{array}\right]$