\(\require{enclose} \newcommand{\IR}{\mathbb{R}} \newcommand{\IC}{\mathbb{C}} \renewcommand{\P}{\mathcal{P}} \renewcommand{\Im}{\operatorname{Im}} \newcommand{\RREF}{\operatorname{RREF}} \newcommand{\vspan}{\operatorname{span}} \newcommand{\setList}[1]{\left\{#1\right\}} \newcommand{\setBuilder}[2]{\left\{#1\,\middle|\,#2\right\}} \newcommand{\unknown}{\,{\color{gray}?}\,} \newcommand{\circledNumber}[1]{\enclose{circle}{#1}} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \)