# MATLAB - Vectors

A vector is a one-dimensional array of numbers. MATLAB allows creating two types of vectors:

Row vectors

Column vectors

## Row Vectors:

**Row vectors** are created by enclosing the set of elements in square brackets, using space or comma to delimit the elements.

r = [7 8 9 10 11]

MATLAB will execute the above statement and return the following result:

r = Columns 1 through 4 7 8 9 10 Column 5 11

## Column Vectors:

**Column vectors** are created by enclosing the set of elements in square brackets, using semicolon to delimit the elements.

c = [7; 8; 9; 10; 11]

MATLAB will execute the above statement and return the following result:

c = 7 8 9 10 11

## Referencing the Elements of a Vector

You can reference one or more of the elements of a vector in several ways. The i^{th} component of a vector v is referred as v(i). For example:

v = [ 1; 2; 3; 4; 5; 6]; % creating a column vector of 6 elements v(3)

MATLAB will execute the above statement and return the following result:

ans = 3

When you reference a vector with a colon, such as v(:), all the components of the vector are listed.

v = [ 1; 2; 3; 4; 5; 6]; % creating a column vector of 6 elements v(:)

MATLAB will execute the above statement and return the following result:

ans = 1 2 3 4 5 6

MATLAB allows you to select a range of elements from a vector.

For example, let us create a row vector *rv* of 9 elements, then we will reference the elements 3 to 7 by writing * rv(3:7)* and create a new vector named

*sub_rv*.

rv = [1 2 3 4 5 6 7 8 9]; sub_rv = rv(3:7)

MATLAB will execute the above statement and return the following result:

sub_rv = 3 4 5 6 7

## Vector Operations

In this section, let us discuss the following vector operations: