This document discusses various concepts related to vectors including column vectors, vector addition, scalar multiplication, row vectors, and multiplying a row vector with a column vector. It defines column vectors as having equal components to be equal, explains that vectors can only be added if they have the same number of components, defines scalar multiplication, notes that row vectors are the transpose of column vectors, and states that multiplying a row vector with a column vector results in a single number.

1. VECTORS
(FINITE MATHEMATICS)
by : st zulaiha nurhajarurahmah
1111040168
State university of makassar

2. CONTENTS :
Column vectors
Vector addition
Scalar Multiplication
Row Vectors
Multiplication of a row vector and a column
vector

3. Column Vectors

Two column vectors u and v are equal, (written
u = v), if they have the same number of
components and if corresponding components
are equal. The vectors are not equal since
corresponding elements are not equal

4. Vector addition
The sum of two
vectors with
different numbers of
components is not
defined
Zero vector

5. Scalar Multiplication

6. Row vectors

7. Multiplication of a row vector and a
column vector
For Example
note that the result of vector multiplication is always a number