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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*}