Chapter 6.5, Problem 4E

Let
$A=\left(\begin{array}{ccc}-2& 8& 20\\ 14& 19& 10\\ 2& -2& 1\end{array}\right)=\left(\begin{array}{ccc}\frac{3}{5}& -\frac{4}{5}& 0\\ \frac{4}{5}& \frac{3}{5}& 0\\ 0& 0& 1\end{array}\right)\left(\begin{array}{ccc}30& 0& 0\\ 0& 15& 0\\ 0& 0& 3\end{array}\right)\left(\begin{array}{ccc}\frac{1}{3}& \frac{2}{3}& \frac{2}{3}\\ \frac{2}{3}& \frac{1}{3}& -\frac{2}{3}\\ \frac{2}{3}& -\frac{2}{3}& \frac{1}{3}\end{array}\right)$
Find the closest (with respect to the Frobenius norm) matrices of rank 1 and rank 2 to A.