The College of Engineering offers to students and faculty Matlab, a software from MathWorks used for machine learning, signal processing, image processing, computer vision, communications, computational finance, control design, robotics, and much more.

You can sign up for the CoE's Matlab user email group: https://secure.engr.oregonstate.edu/mailman/listinfo/matlab-users

Post to the group with any questions about matlab and announcements and updates regarding Matlab will be sent out to anyone in the matlab group.

Windows Desktop computers, Linux, Mac, and Citrix Xen Desktop

- For personal computers, Matlab can be downloaded and installed locally using these instructions. After install, no network or VPN connection is required.
- For instructions on installing Matlab locally visit: http://it.engineering.oregonstate.edu/site-license-matlab.

- On or off campus, Matlab can be used in the engineer computer labs and accessed on personal computers using Citrix Xen Desktop.
- Students and faculty with engineering Windows desktop computers can install Matlab from Software Center, found in the Windows Start Menu.
- For Linux users, Matlab can be accessed by using:
*matlab*

MathWorks provides several helpful resources on their support page: http://www.mathworks.com/support/?s_tid=gn_supp

Provided are tools for getting started and getting help with using their products.

Including:

- Video Tutorials
- Documentation Pages
- Support Forums
- Examples

**Learn with Matlab and Simulink Tutorials**

**A Few Comments On These Notes**

- They are intended to be self contained hands on tutorial, with enough explination so the reader can learn the basics of Matlab simply by reading these notes and performing the commands shown
- The words in bold are intended to be typed into Matlab at the command prompt just as they are shown as examples
- At the end of these notes, you will find a text file generated when these commands were entered into a Matlab session. This attachment is provided so you can verify your results from this tutorial.

- Type "help " then name of command, function or toolbox you want help with
- If you don't know the name of the command, function, or toolbox you want help with, you can simply type help then a list of the toolboxes will be displayed

- Click on the question mark on the tool bar, or
- Select "Help" from the menu, then click on "Help Window" from the pull down menu

- Type "helpdesk" at command prompt (>>), or
**Helpdesk** - Select "Help" from the menu, then click on "Help Desk (HTML)" from the pull down menu, or
- From the Help Window, click on the button titled "Go to Help Desk"

- Variable names must start with a letter, but can be followed by any number of letters, digits, or underscores.
- Variable names are case sensitive, e.g. "R" is not the same variable as "r"
- Examples

`R=6``Circ=2*3.1416*R`

- Matlab has some built in variables, i.e. pi and i (see Help Desk/Getting Started/Expressions/Functions)
- Note: These built in variables are not reserved, and therefore they can be overwritten!
- Examples

`Circumf=2*pi*R``pi=4``Circumf2=2*pi*R``imag1=3+6i``imag2=7+9j``imag3=imag1+imag2`

At this point I'll introduce on of several useful functions, one of which is **whos**.

*whos* lists all currently assigned variables, their size, bytes used, and the class. You'll notice that at this point all the variables have a size of 1x1. Matlab treats all variables as matrices (arrays), matrices (arrays) of size 1x1 are scalars

**Entering Arrays**

There are several ways of entering Arrays

- Manually

`A=[1 2 3;4 5 6;7 8 9]`

- Using the colon function

- The colon function creates a sequence of numbers
- Format of colon operator is as follows:
**beginning number : increment : ending number**

`E=1:10 or E=[1:10]``F=2:2:10`

- One of Matlab's Array generating functions
creates a 3x3 array full of zeros`B=zeros(3,3)`creates a 3x3 array full of ones`C=ones(3,3)`creates a 3x3 array of random integers between 0 and 10`D=round(10*rand(3,3))`

Once you have an Array, you can manipulate it quite easily Say, you wanted just the 1st two rows of Array "A" G=A([1 2],:) Or just the first two columns but in reverse order H=A(:,[2 1]) Or just the upper 2x2 of Array "A" I=A(1:2,[1 2]) or I=A([1 2],[1 2]) or I=(1:2,1:2) What if you only wanted to know the value of the 2nd number down in the 1st column of "A" J=A(2,1) You can also transpose a matrix simply e=E' O=A'

Any Matrix (Array) operated on by a scalar is done element by element K=A+2 L=A*2 To perform element by element multiplication or division between two matrices the ".*","./", or ".^"operators must be used M=A.*D N=A./D P=A.^2 Note: the division operator is directional (see: Help Desk/Matlab Functions by Subject/Operators and Special Characters/.)

At this point lets introduce a few other useful functions; "clear", and "clc" "Clear" clears the workspace or particular variables from memory the format for "clear" is as follows clear variable_name_1 variable_name_2 ... or without any variable names it clears all variables whos clear A B whos clear whos "clc" clears the command window At this point you can scroll up in the command window and review the history of this session clc At this point you can no longer scroll up in the command window

Matrix Operations Multiplication

First lets enter some Matrices A=[1 2 0;2 5 -1;4 10 -1] D=[3 8;7 2;6 4;12 5] Lets take the transpose of each of them B=A' E=D' Lets Multiply the original matrix by it's transpose C=A*B F=D*E As you notice this is true matrix multiplication, and must therefore you must comply with those rules, for example if you try to multiply "A" by "D" you will get an error G=A*D Divisions and Powers can be performed also Inversion Matlab has a special function to invert a matrix B=inv(A) To prove this is truly the inverse, lets multiply "A" by "B" C=A*B Eigenvalues and Eigenvectors Matlab also has a special function to find the Eigenvalues and Eigenvectors of a Matrix To get the Eigenvalues: C=eig(A) This produces a vector of the eigenvalues To get the eigenvalues "D" and the eigenvectors "V" (such that A*V=V*D) [V,D]=eig(A)

The plot command for 2-dimensional plots First lets clear the memory clear Now lets set-up a couple of vectors X=0:pi/12:4*pi; Y1=3*cos(X); Note: The semi-colon at the end of the above statements suppresses the display of the arrays being created Now let's plot "Y" versus "X" plot(X,Y1) You can also change the line style, color, and include symbols, you'll now generate a plot with a dashed red line, and circular symbols (see "help plot" or Help Desk and searching for "linespec" for more info on types of lines and symbols) plot(X,Y1,'--ro') You can also add titles to the axis and the figure as follows ylabel('amplitude') xlabel('angle') title('amplitude vs. angle') You can also change the scale on the axis The format for this command is : Axis([xmin xmax ymin ymax]) axis([0 4*pi -6 6]) You can also plot more than one variable on one figure So lets create another variable, and plot it to the existing figure Y2=5*sin(X); hold this holds the current plot so additional variables can be added plot(X,Y2,'-bx') hold Or you could have done it as follows plot(X,Y1,'--ro',X,Y2,'-bx') You can clear the figure by typing "clf" clf

Other Useful Commands I'll let you read about these on your own in the on-line help save Saves variables so they can be recalled later diary creates a diary of the current session beginning where the command is invoked addpath Adds directories to the default search paths in Matlab