01 May Justin’s Guide to MATLAB in MATH 240 – Part 1
Justin’s Guide to MATLAB in MATH 240 – Part 1
This “Justin’s Guide” is an edited version of a guide by Justin Wyss-Gallifent. It is instructional guide
before the actual Project 1, with information you will need to have. You do not need to turn in anything
for this part. Project 1 starts a few pages down.
1. Method
The way this guide is written is that it is assumed that you will sit down at a MATLAB terminal
and start. The commands that you give to MATLAB are given but the output is not. The output is,
however, talked about, with the understanding that you will put in the commands and see the output.
Then you can read about it and keep going.
2. Starting MATLAB
Find a system on campus and run MATLAB. The important window (there will probably be a couple)
will have a bunch of subwindows in it but the major panel on the right has a >> in it. This is the
prompt, it’s where we tell MATLAB what we want it to do.
3. Simple Calculation
For example, to do 4+5 we just type it in and hit “return”
>> 4+5
4. Solving a System
Now let’s do something having to do with MATH 240.
First we’ll solve a system of linear equations. We do this using MATLAB’s solve command. Due
to the quirkiness with which this command operates we have to make sure we interpret the result
correctly. For example, suppose we wish to solve the system
3×1 + x2 – 5×3 = 0
x1 – 5×2 + x3 = 2
x1 + x2 – 5×3 = -1
what we type in is the following.
>> [x1 x2 x3]=solve(’3*x1+x2-5*x3=0’,’x1-5*x2+x3=2’,’x1+x2-5*x3=-1’)
Note the apostrophes (single quotes), necessary because an equation must be treated as a string of
characters and strings of characters in MATLAB are delimited by apostrophes.
Note here that we got three solutions. What would happen if we fed MATLAB a system with not
enough equations? Let’s try!
>> [x1 x2 x3]=solve(’3*x1+x2-5*x3=0’,’x1-5*x2+x3=2’)
If you try this, MATLAB chokes. The reason is that it doesn’t know what to do or how to give the
solution. There are ways for MATLAB to solve this but they demand that we know more than we do,
too. For now we’ll need to deal with the corresponding augmented m
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