Skip to main content \(\newcommand{\R}{\mathbb R}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\)
Chapter 4 Vector Space
Motivation: Consider the solution set \(W\) of the matrix equation \(A\mathbf{x}=\mathbf{0}\text{.}\) This set has a nice property: \(\alpha,\beta\in W\text{,}\)
\(\alpha+\beta\in W\text{.}\)
In this chapter, we would like to understand the following concepts.
Objectives