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Section 2.4 Vector
The definition of vectors.
The matrix with only one column is called a (column)
vector, and the matrix with only one row is called a row vector.
Activity 2.4.1. Visualization of vector addition and scalar multiplication.
Subsection 2.4.1 Row and Column Vectors of a matrix
Some row and column of a matrix can be recorded by
row(i) and
column(j)
Example: Let
\begin{equation*}
A = \begin{pmatrix}
0 \amp 2 \amp -8 \amp 8 \\
1 \amp -2 \amp 1 \amp 0 \\
5 \amp 0 \amp -5 \amp 10
\end{pmatrix}
\end{equation*}