An Introduction to MATLAB

This section is an introduction to MATLAB by way of example. First some screen shots of MATLAB are shown to help you get oriented to using MATLAB on your computer. Then some simple MATLAB commands are presented that you are encouraged to try. The syntax and general use of these commands are described in detail later.

Starting and stopping

If you are using a DOS or Unix computer, start MATLAB by typing ``matlab'' at the command prompt. If you are using a Macintosh, or a computer running Windows, double click on the MATLAB icon. Refer to the MATLAB User's guide for additional information to help you get started on your computer.

To stop MATLAB type ``quit'' at the MATLAB prompt, i.e.

```        >> quit
```

Windows and such

MATLAB evolved as an interface to a powerful library of linear algebra routines programmed in FORTRAN. Though it is a very modern computer package, MATLAB's roots are still evident in the way that you interact with it. The most basic way to get MATLAB to do work is to type a command in the Command Window.
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Using MATLAB as a calculator

MATLAB can be used as an expression evaluator. To do this you simply type a mathematical expression into the command window. The command window prompt is >>. To enter an expression, type it after the prompt (correct any mistakes by backspacing) and press return. MATLAB prints the result back to the command window. For example, to ``evaluate'' pi type
```	>> pi
```

MATLAB responds with
```	ans =

3.1416
```

pi is a built-in MATLAB variable. The preceding command is actually a request for MATLAB to print the value of this variable.

Try the following examples

```	>> sin(pi/4)

>> 2^(log2(4))

>> sqrt(9)
```

Assigning Values to Variables

MATLAB allows you create variables on the fly. To create a variable just use it on the left hand side of an equal sign. The following examples show how to assign values to three variables, x, y and z. It also shows the MATLAB response to the assignment statements.
```	>> x = 5
x = 5

>> y = pi/4
y = 0.7854

>> z = y + x^0.25
z = 2.2807
```

Note that z exists only as a numerical value, not as the formula with which it was created.

Use the who command to list the currently active variables. For the preceding session this results in

```	>> who

ans       x         y         z

leaving 7433616 bytes of memory free.
```

To print the value of a variable that is already defined just type its name at the prompt.
```	>> z
z = 2.2807
```

The variables section describes how to work with MATLAB variables

Built-in Functions and Variables

MATLAB has many very powerful built-in functions. As the preceding example demonstrated these functions include the familiar set found on many hand-held calculators. Here is just a tiny sample of other MATLAB functions

You can also create your own functions. To do this you type MATLAB commands into a plain text file. The file must have the extension ".m", and because of this MATLAB functions are often referred to as "m-files". Creating and using functions is described in the Programming Matlab section.

MATLAB also has some special variables and functions. You have already encountered the ans variable which is automatically created whenever a mathematical expression is not assigned to another variable.

The built-in eps variable is used as a tolerance for internal calculations. Initially eps is equal to machine epsilon. You can reset the value of eps, but this is not recommended unless you are very sure you know what you are doing.

The realmax, realmin, Inf and NaN built-in variables are used to handle floating point exceptions. All numerical variables in MATLAB are stored as 32 bit floating point numbers. This corresponds to ``double precision'' on most computers (supercomputers and some high-end workstations being the exception). The Inf and NaN values appear if a floating point exception occurred during the calculations.

In general you should not try to (re)assign the values of any built-in variables listed in the table below.

On-line Help(!)

MATLAB provides on-line help for all built-in functions and commands. To browse a list of help topics type
```	>> help
```

To get help on a specific topic, for example the cosine function, type
```	>> help cos
```

Using help is one way to learn about the variety of built-in functions. The help command is most useful when you know the name of the function, but are unsure how to use it. The MATLAB manuals provide cross-referenced and indexed descriptions of all aspects of using MATLAB.

Suppressing Output with Semicolon

In the preceding examples it was useful to have MATLAB print the results of the calculations. This is not always the case. MATLAB will print the result of every assignment operation unless the expression on the right hand side is terminated with a semicolon. Unlike C the semicolon is not required by MATLAB syntax. Rather, it is a convenience that allows multiple statements to be executed without printing the intermediate results. For example, most lines in m-files end with semicolons because only the final results of the calculations are of interest.

To see how the semicolon works enter the following statements exactly as shown, ending each line with a carriage return. Do not enter the prompt character, >>.

```	>> x = pi/3;
>> y = sin(x)/cos(x);
>> z = y - tan(x);
>> z
>> y
```
The last two lines do not end in semicolons so MATLAB prints the results of evaluating z and y. The the values of z and y were assigned in the y = and z = statements. The last two lines merely printed the values of the expressions z and y.

Setting the MATLAB path

Setting the internal MATLAB path is such a universal concern that it has its very own page. If you are just beginning to learn MATLAB the process of setting the internal path may be confusing. Don't worry about it right away, but don't forget about it either. There are links throughout these pages that point you back to the path-setting information.