\(\newcommand{\R}{\mathbf{R}}\newcommand{\Vec}[1]{\boldsymbol{#1}}\newcommand{\e}{\Vec{e}}\renewcommand{\v}{\Vec{v}}\newcommand{\x}{\Vec{x}}\newcommand{\y}{\Vec{y}}\newcommand{\z}{\Vec{z}}\newcommand{\0}{\Vec{0}}\)[This blog post, taken from the students’ preface of my free (gratis) one-semester book Linear…