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$2\times 2$ 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 $c=0$,…

Find a row-reduced matrix to the given one

Solution to Linear Algebra Hoffman & Kunze Chapter 1.3 Exercise 1.3.4 Solution: We have A\rightarrow\left[\begin{array}{ccc} 1 & -2 & 1\\ i & -(1+i) & 0\\ 1 & 2i & -1…