This document provides an overview of MATLAB, including what it is, its basic layout and functions. It discusses that MATLAB is a matrix laboratory for doing matrix operations and modeling systems. It explains how to define matrices, use basic operators and functions in MATLAB, including creating matrices using colons and concatenating matrices. It also gives some examples of typical MATLAB functions for mathematical operations, matrix operations, and creating matrices.

1. Department of Electrical Engineering
HCET
Aditi Tiwari

2. To MATLAB

3. What is MATLAB?
 MATrix LABoratory
 Does Matrix Operations
 Thousands of inbuilt functions
 ToolBoxes
 GUIS
 A programming Language
 A complete software package
 Simulink Modeling tools
 EDA tools

4. LAYOUT

5. A Simple Start:
 Add two Variables
 No definitions needed, no classes needed
 On command window type:
 Type C to see the value
C=9
>>A=5;
>>B=4;
>>C=A+B;

6. Editors:
 Editors are used to store codes
 Code is nothing but just a set of lines
 M Files are used in MATLAB having extension .m
 Types:
 Script File
 Set of code lines
 Function File
 A code implementing some functions like sin, cos exp (they
are inbuilt)

7. Defining Matrices:
 Just write all the entries separated by the space or
comma and enclosed in a bracket []
 A=[1 2 3 2]
Or
 A=[1,2,3,2]
 For column matrix, put semicolon ; in between
 A=[1;2;3;2]

8. Importance of Matrix:
 Not just as a transformation
 Also set of data or samples
 Electrical Signals
 Performance outputs
 Images
 Also as model representation
 Polynomials
 Transfer functions
 Neural Networks

9. Polynomials:
These are some of the
Polynomials you have
Come across.

10. Polynomials in MATLAB
 A polynomial can be represented in the form of
coefficients. For example, if you want to write
 You have to just write [1 2 2 5]
 Each number represents the value of coefficients.
 This will be represented as [1 0 2 5]

11. System Modeling using Matrix:
 Recall the well known example of LCR circuit:
 Output across resistor V0=R.i
 Modeled using matrix as
I
N
P
U
T
O
U
T
P
U
T

12. Similarly a Motor System
 A Motor Speed System
 We write its state equations:

13. Transfer Functions
 Polynomials
 [K2]
 [1 2 K2]

14. Neural Systems
 Systems modeled as a set of transformation with
neurons as Weight matrixes

16. Problems with Other Programming
Languages
 No Matrix operations
 For Loops everywhere
 Lots of unnecessary lines

19. with MALTAB

20. Define Matrixs
 Mix , and ; to make 2 D matrix
A=[1 2 3 2; 1 3 2 1;2 3 6 1]
 Make A 1 to 10 Matrix
A=[1 2 3 4 5 6 7 8 9 10];
 Make 1 to 100
 Tired??
 Use colon :Which mean “TO”
A=[1:100];

21. Colon (:) = TO
[1:4]
 Gives a vector from 1 to 4
1 2 3 4
[1:0.5:4]
 Gives a vector from 1 to 4 with step 0.5
1 1.5 2 2.5 3 3.5 4
[0:0.1:2*pi]
 Gives a vector containing 0 to 2π

22. Operators
 Matrix Operators
 Y=A^2
 Y=A^B
 X=A*B
 Dot Operators
 Y=A.^2
 X=A.*B
 Y=A.^B

23. Functions
Subscripting

24. Typical MATLAB functions
 Mathematical
 sqrt
 sin,cos,tan
 Log, exp
 Creation
 ones
 zeros
 eye
 Rand
 Information
 size
 length

25. Typical MATLAB functions
 Matrix Operations
 sum
 diag
 transpose or ‘
 inv
 det
 eig
 fliplr
 reshape
 flipud
 rot90
 repmat

26. Concatenation of Matrices
 Suppose A, B, C are matrices
 If we write [A B] or [A,B]
 If we write [A;B]
 Similarly [A B C] and [A;B;C]
 [[A B];C]

27.  Crete a with size 4x5
 With elements from 3to7
 uGP
Arn-1
N=[1:20]
Y=2*(1/2).^(N-1)