1. Introduction to FreeMat Dr. Mohammad Tawfik
[email protected] to FreeMat
2. In this workshop we will cover the following Using FreeMat as
a numerical calculator Entering row vectors and column vectors
Entering matrices Forming matrix and vector products Doing matrix
products, sums etc Using FreeMat to solve linear equations FreeMat
functions that operate on arrays Plotting basic graphs using
FreeMat. Introduction to FreeMat 3. What is MATLAB ? MATLAB started
as an interactive program for doing matrix calculations and has now
grown to a high level mathematical language that can solve
integrals and differential equations numerically and plot a wide
variety of two and three dimensional graphs. MATLAB also contains a
programming language.Introduction to FreeMat 4. What is FreeMat?
FreeMat is an open source software package that provides all the
basic functions of MATLAB It lacks the sophisticated toolboxes
provided by the MATLAB, but it works perfectly if you use basic
functions!Introduction to FreeMat 5. How to get
started?Introduction to FreeMat 6. Simple arithmetic with
MatlabIntroduction to FreeMat 7. Simple arithmetic with
MatlabIntroduction to FreeMat 8. Try These!Introduction to FreeMat
9. The order of operations If you are using brackets, that will
save you a lot of effort! However, the operators have precedence!
1. 2. 3. 4.( ) brackets ^ Power * / Multiplication and division + -
Addition and subtractionIntroduction to FreeMat 10. Variable names
Variable may have names that consist of characters and digits, but
they can not start with a number! Matlab distinguishes between
lower and upper cases - so A and a are different objects Only the
first 19 characters in a variable name are important.Introduction
to FreeMat 11. Try this! You have just created two vectors, x &
y! Now try some operations on them! (multiply by a constant, use
sin(x), sqrt(x), exp(x), Introduction to FreeMat 12. Try
this!Introduction to FreeMat 13. This is your first
plot!Introduction to FreeMat 14. How about this?Introduction to
FreeMat 15. Now, you know how to create a plot of your
data!Introduction to FreeMat 16. Matrix Operations Try
these:Introduction to FreeMat 17. Another way of creating a vector
You may try to multiply, add, or invert those matrices!Introduction
to FreeMat 18. Matrix Inversion Matrix inversion is performed using
the function: inv();Introduction to FreeMat 19. What variables have
you defined already ? Also try the commands: who & whos
Introduction to FreeMat 20. More Matrix Operations Try
these:Introduction to FreeMat 21. More Matrix
OperationsIntroduction to FreeMat 22. Special Matrices!Introduction
to FreeMat 23. Solving Equations! Now we may use the tools we have
to solve a system of equations! If we have the equations: 5x + 3 y
z = 7 x 2 y + 9z = 8 x + 2 y + 3z = 6 Just transform it into matrix
form! Introduction to FreeMat 24. Here is how!Introduction to
FreeMat 25. Or Even Easier!!! Actually, if you are solving a large
system of equations, this operator is MUCH faster!Introduction to
FreeMat 26. The last function for today! Timing function: tic toc
Tic: starts the timer Toc: stops the timer and gives you the time
in seconds!Introduction to FreeMat 27. More topics! Complex numbers
Working with files More graphics Programming Symbolic
OperationsIntroduction to FreeMat
