Chapter 4.3, Problem 2E

Apply classical Gram-Schmidt orthogonalization to find the full QR factorization of the following matrices:

$\text{a}\text{. }\left[\begin{array}{l}\begin{array}{cc}2& 3\end{array}\\ \begin{array}{cc}-2& -6\end{array}\\ \begin{array}{cc}1& 0\end{array}\end{array}\right]$ $\text{b}\text{. }\left[\begin{array}{l}\begin{array}{cc}-4& -4\end{array}\\ \begin{array}{cc}-2& 7\end{array}\\ \begin{array}{cc}4& -5\end{array}\end{array}\right]$