## $2\times 2$ Row-reduced Matrix

Solution to Linear Algebra Hoffman & Kunze Chapter 1.3 Exercise 1.3.6 Solution: Case $a\not=0$: Then to be in row-reduced form it must be that $a=1$ and $A=\left[\begin{array}{cc}1&b\\c&d\end{array}\right]$ which implies $c=0$,…