MATLAB Vectors

Vectors are one-dimensional numeric arrays. MATLAB allows the creation of two types of vectors-

• row vectors

• column vector

row vectors

row vectors are created by enclosing the set of elements in square brackets and delimiting elements with spaces or commas.

r　=　[7　8　9　10　11]

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

r　=
　　　7　　　　8　　　　9　　　10　　　11

column vector

column vector by enclosing the set of elements in square brackets and separating elements with semicolons.

c　=　[7;　　8;　　9;　　10;　11]

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

c　=
　　　　　　7　　　　　　　
　　　　　　8　　　　　　　
　　　　　　9　　　　　　　
　　　　　　10　　　　　　　
　　　　　　11

Referencing vector elements

You can reference one or more elements of a vector in various ways. The i-th element of vector v is^aThe components are called v(i). For example-

v　=　[　1;　2;　3;　4;　5;　6]; % create a column vector by6a column vector of
v(3)

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

ans　=　　3

When referencing a colon vector, such as v(:), it will list all the components of the vector.

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 series of elements from a vector.

For example, let's create a vector containing9a row vector ofrv, then we will refer to the elements by writing3to7,rv(3:7)and create a namedsub_rvto create a new vector.

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's discuss the following vector operations-

• Addition and Subtraction of Vectors

• Scalar Multiplication of Vectors

• Transpose of Vectors

• Appending Vectors

• Size of Vectors

• Vector Dot Product

• Vectors with Equidistant Elements