Chapter 2.2, Problem 23EQ

What is the rank of each of the matrices in Exercises 1-8?

$\begin{array}{l}1.\left[\begin{array}{ccc}1& 0& 1\\ 0& 0& 3\\ 0& 1& 0\end{array}\right]2.\left[\begin{array}{cccc}7& 0& 1& 0\\ 0& 1& -1& 4\\ 0& 0& 0& 0\end{array}\right]\\ 3.\left[\begin{array}{cccc}0& 1& 3& 0\\ 0& 0& 0& 1\end{array}\right]4.\left[\begin{array}{ccc}0& 0& 0\\ 0& 0& 0\\ 0& 0& 0\end{array}\right]\\ 5.\left[\begin{array}{ccccc}1& 0& 3& -4& 0\\ 0& 0& 0& 0& 0\\ 0& 1& 5& 0& 1\end{array}\right]6.\left[\begin{array}{ccc}0& 0& 1\\ 0& 1& 0\\ 1& 0& 0\end{array}\right]\\ 7.\left[\begin{array}{ccc}1& 2& 3\\ 1& 0& 0\\ 0& 1& 1\\ 0& 0& 1\end{array}\right]8.\left[\begin{array}{cccc}2& 1& 3& 5\\ 0& 0& 1& -1\\ 0& 0& 0& 3\\ 0& 0& 0& 0\end{array}\right]\end{array}$