ENG004 ALGORITHMS & INT. TO PROGRAMMING
Week 3
“An introduction to arrays and matrices”
Ahmet Anıl Dindar
07.03.2007
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The class facts
E-mail address: [email protected]
Class web page: http://web.iku.edu.tr/courses/insaat/eng004/
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Last week
What is Algorithm and Programming? Why do we need programs? A powerful tool- MATLAB What is MATLAB? Why MATLAB? How to use it? The first commands in
MATLAB.
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This week
Variables Defining a new variable Assigning a value to a variable Variable types
An introduction to arrays and matrices Entering arrays and matrices Creating arrays and matrices manually by entering
values. Generating arrays and matrices by defining certain rules Creating arrays from existing arrays By using built-in matrix generators
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Variables
What is variable?
Homer Simpson
Are there anyonewhose name is
Homer Simpson?(probably)
YES
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Variables: Variable is a tag given to a specific matrice,
number or anything. You can change the content of the variable any
time. You can name a variable with alphabetic or alpha-
numeric. The variables are important in programming. A good sense and logic is essential to follow the
codes.
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And now let’s see How it is in MATLAB!
Follow me now!
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>> a=1a = 1 >> a=1
a = 1>> a+aans = 2
Variables in MATLAB (Alphabetic):
>> a=1a = 1>> a+aans = 2>> a*aans = 1
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>> a1=10a1 = 10
>> a1=10a1 = 10>> a1a1 = 10
Variables in MATLAB (Alphanumeric):
>> a1=10a1 = 10>> a1a1 = 10>> a1*(2*a1)/5ans = 40
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>> a=10a = 10>> a1=5a1 = 5>> a+a1ans = 15>> a+a1*(a-a1)ans = 35>>
Variables in MATLAB:
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An introduction to arrays and matrices What is matrice? What is array? What are the matrices we use? What are the calculations? The properties of the matrices?
The matrices named with variables?
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Creating a Matrice
>> a=[1 3 4]a = 1 3 4
>> a1 = 1 2 3
Row Matrix (Vector)
Column Matrix (Vector)
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Creating a Matrice
>> ali=[1 2 3;4 5 6;7 8 9]ali = 1 2 3 4 5 6 7 8 9
An Ordinary Matrice
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Generating arrays and matrices by defining certain rules:
>> a=(1:10)a = Columns 1 through 7 1 2 3 4 5 6 7 Columns 8 through 10 8 9 10
Generic Creation (one by one):
>> deli=(1:2:10)deli = 1 3 5 7 9>>
Generic Creation (two by two):
>> deli=(10:-2:0)deli = 10 8 6 4 2 0
Generic Creation (???):
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Generating arrays and matrices by defining certain rules:
>> ones(1,10)ans = 1 1 1 1 1 1 1 1 1 1>> zeros(1,5)ans = 0 0 0 0 0
Some Special Matrices
What about a matrice with full of 2’s>> twos(1,5)
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Generating arrays and matrices by defining certain rules:
>> ones(1,10)ans = 1 1 1 1 1 1 1 1 1 1>> zeros(1,5)ans = 0 0 0 0 0
Some Special Matrices
What about a matrice with full of 2’s>> twos(1,5)
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Creating matrices from matrices
>> a=(1:5)a = 1 2 3 4 5>> b=(2:6)b = 2 3 4 5 6>> c=[a;b]c = 1 2 3 4 5 2 3 4 5 6
Using matrices to create new matrices
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Assignment
There is not any assignment!
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Next week...
Weeks Date Class Assignment
1 21.02 Introduction to the class Registration
2 28.02 Exploring MATLAB Assignment 1
3 07.03 Arrays and Matrix Operations N.A.
4 14.03 Arrays and Matrix Operations Assignment 2
5 21.03 Arrays and Matrix Operations Assignment 3
6 28.03 Polynomials and curve-fitting Assignment 4
7 04.04 Descriptive statistics Assignment 5
8 11.04 Programming Elements of MATLAB N.A.
9 18.04 Programming Elements of MATLAB Assignment 6
10 25.04 Programming Elements of MATLAB Assignment 7
11 02.05 Plotting and Animations N.A.
12 09.05 Plotting and Animations Assignment 8
13 16.05 Numerical Integration Assignment 9
14 23.05 Symbolic Math Assignment 10
15 30.05 Take-home final project N.A.
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See you next week!
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