Skip to main content ☰ Contents Index You! < Prev ^ Up Next > \(\newcommand{\avec}{{\mathbf a}}
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\)
Chapter 2 Vectors, matrices, and linear combinations
We began our study of linear systems in
Chapter 1 where we described linear systems in terms of augmented matrices, such as
\begin{equation*}
\left[
\begin{array}{rrr|r}
1 \amp 2 \amp -1 \amp 3 \\
-3 \amp 3 \amp -1 \amp 2 \\
2 \amp 3 \amp 2 \amp -1 \\
\end{array}
\right]
\end{equation*}
In this chapter, we will uncover geometric information in a matrix like this, which will lead to an intuitive understanding of the insights we previously gained into the solutions of linear systems.
