# Arrays in Matlab

Matlab → Basics → Variables → Functions → Arrays

We usually need a list of numbers to manipulate data. An array is a list of numbers arranged in rows or columns. The simplest array (also called vector) is a single row or column of numbers. It is also called one-dimensional array. And a two-dimensional array (also called matrix) has numbers in both rows and columns.

A single row array A with numbers 3, 5, and 7 can be created in Matlab as,

```>> A=[3 5 7] A = 3 5 7```

And a single column array B with numbers 4, -10, and 17 can be created in Matlab as,

```>> B=[4; -10; 17] B = 4 -10 17```

The next Table shows some more examples of arrays.

 Command Answer `>> A=[2 5 9]` `A = 2 5 9` `>> B=[2;5;9]` ```B = 2 5 9 ``` `>> C=[1 2 3;4 5 6]` ```C = 1 2 3 4 5 6 ``` `>> D=[4 1 2 3 4 5; 6 7 8 9 0 1]` ```D = 4 1 2 3 4 5 6 7 8 9 0 1 ``` `>> E=[5 9 0 13 4; 7 11 9 0 2; 7 8 9 0 10]` ```E = 5 9 0 13 4 7 11 9 0 2 7 8 9 0 10 ```

Creating vectors with equal spacing
Vectors (or one-dimensional arrays) with equal spacing can also be created. The general formulas for creating equally spaced vectors are:

`VectorName = a:b` Create a vector from a to b with step size 1.
`VectorName = a:b:c` Create a vector from a to c with step size b.

Consider the next example where first we will create a vector from 5 to 15 with step size 1, and then a vector from 1 to 22 with step size 3.

```>> A=5:15 A = 5 6 7 8 9 10 11 12 13 14 15```

>> B=1:3:22
B =
1 4 7 10 13 16 19 22

Equally spaced vectors with total number of elements can also be created using the linspace command. The general formula in this case is

`VectorName = linspace(a,b,n)`

Where a is the first element, b is the last element, and n is the total number of elements. The following example creates a vector from 1 to 10 where total number of elements are 6, and Table 7.6 shows some more examples of equally spaced vectors.

```>> Z=linspace(1,10,6) Z = 1.0000 2.8000 4.6000 6.4000 8.2000 10.0000```

The next Table shows some more examples of equally spaced vectors.

 Command Description Answer `>> x=1:10` Create a vector ‘x’ from 1 to 10 with step size 1. `1 2 3 4 5 6 7 8 9 10` `>> y=1:2:11` Create a vector ‘y’ from 1 to 11 with step size 2. `1 3 5 7 9 11` `>> z=2:3:14` Create a vector ‘z’ from 2 to 14 with step size 3. `2 5 8 11 14` `>> x=linspace(1,10,4)` Create a vector ‘x’ from 1 to 10 where total elements are 4. `1 4 7 10` `>> y=linspace(1,10,5)` Create a vector ‘y’ from 1 to 10 where total elements are 5. `1.0000 3.2500 5.5000 7.7500 10.0000` `>> z=linspace(1,20,4)` Create a vector ‘z’ from 1 to 20 where total elements are 4. `1.0000 7.3333 13.6667 20.0000`
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