Basis and dimension of a vector space
Skip to main content\(\def\R{\mathbb{R}}
\def\C{\mathbb{C}}
\def\Q{\mathbb{Q}}
\def\N{\mathbb{N}}
\def\Z{\mathbb{Z}}
\def\ev{\mathrm{ev}}
\def\Im{\mathrm{Im}}
\def\End{\mathrm{End}}
\def\Aut{\mathrm{Aut}}
\def\Hom{\mathrm{Hom}}
\def\Iso{\mathrm{Iso}}
\def\GL{\mathrm{GL}}
\def\ker{\mathrm{ker }}
\def\Span{\mathrm{Span}}
\def\tr{\mathrm{tr}}
\newcommand{\unit}{1\!\!1}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\)
Chapter 3 Basis and dimension of a vector space
We define an important concept of the dimension of a vector space.