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 −
