# 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 =

7    8    9   10   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 ith 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 −