![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]](https://image.slidesharecdn.com/b19e5180-a5e5-4862-a753-85e382be8bdd-150725193452-lva1-app6892/85/matlab-7-320.jpg)
![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]](https://image.slidesharecdn.com/b19e5180-a5e5-4862-a753-85e382be8bdd-150725193452-lva1-app6892/85/matlab-10-320.jpg)
![Transfer Functions
Polynomials
[K2]
[1 2 K2]](https://image.slidesharecdn.com/b19e5180-a5e5-4862-a753-85e382be8bdd-150725193452-lva1-app6892/85/matlab-13-320.jpg)
![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];](https://image.slidesharecdn.com/b19e5180-a5e5-4862-a753-85e382be8bdd-150725193452-lva1-app6892/85/matlab-20-320.jpg)
![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](https://image.slidesharecdn.com/b19e5180-a5e5-4862-a753-85e382be8bdd-150725193452-lva1-app6892/85/matlab-21-320.jpg)
![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]](https://image.slidesharecdn.com/b19e5180-a5e5-4862-a753-85e382be8bdd-150725193452-lva1-app6892/85/matlab-26-320.jpg)
![ Crete a with size 4x5
With elements from 3to7
uGP
Arn-1
N=[1:20]
Y=2*(1/2).^(N-1)](https://image.slidesharecdn.com/b19e5180-a5e5-4862-a753-85e382be8bdd-150725193452-lva1-app6892/85/matlab-27-320.jpg)
matlab
- 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
- 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)