Chapter 4.3, Problem 1E

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

$\text{a}\text{. }\left[\begin{array}{cc}4& 0\\ 3& 1\end{array}\right]$ $\text{b}\text{. }\left[\begin{array}{cc}1& 2\\ 1& 1\end{array}\right]$ $\text{c}\text{. }\left[\begin{array}{l}\begin{array}{cc}2& 1\end{array}\\ \begin{array}{cc}1& -1\end{array}\\ \begin{array}{cc}2& 1\end{array}\end{array}\right]$ $\text{d}\text{. }\left[\begin{array}{ccc}4& 8& 1\\ 0& 2& -2\\ 3& 6& 7\end{array}\right]$