1. Zen and the Art of MatLab Damian Gordon

2. Hard work done by : Daphne Gilbert & Susan Lazarus

3. Introduction to MatLab MatLab is an interactive, matrix-based system for numeric computation and visualisation MATrix LABoratory Used in image processing, image synthesis, engineering simulation, etc.

4. References “Mastering MatLab” Duane Hanselman, Bruce Littlefield “The MatLab Primer” http://www.fi.uib.no/Fysisk/Teori/KURS/WRK/m at/mat.html “The MatLab FAQ” http://www.isr.umd.edu/~austin/ence202.d/matlab -faq.html

5. Printed Circuit Board

6. Specific Bond Selected

7. Bond Shape Estimated

8. MATLAB Command Window To get started, type one of these: helpwin, helpdesk, or demo. For product information, type tour or visit www.mathworks.com. » » help HELP topics:

9. Creating Variables >> varname = 12 varname = 12 >> SS = 56; N = 4; Tot_Num = SS + N Tot_Num = 60

10. Operations +Addition -Subtraction *Multiplication ^Power \ Division / Division Add vars Subtract vars Multiplication Raise to the power Divide vars (A div B) Divide vars (B div A)

11. Creating Complex Numbers >> 3 + 2i >> sqrt(9) + sin(0.5)*j ans = 3.0000 + 0.4794i Num = sqrt(9) + sin(0.5)*j real(Num) imag(Num)

12. Entering Matrices (1) >> A = [1 2 3; 4 5 6; 7 8 9] OR >> A = [ 1 2 3 4 5 6 7 8 9 ]

13. Entering Matrices (2) To create an NxM zero-filled matrix >> zeros(N,M) To create a NxN zero-filled matrix >> zeros(N) To create an NxM one-filled matrix >> ones(N,M) To create a NxN one-filled matrix >> ones(N)

14. Entering Matrices (3) To create an NxM randomly-filled matrix (which is uniformly distributed) >> rand(N,M) To create an NxM randomly-filled matrix (which is normally distributed) >> randn(N,M)

15. Complex Matrices To enter a complex matrix, you may do it in one of two ways : >> A = [1 2; 3 4] + i*[5 6;7 8] OR >> A = [1+5i 2+6i; 3+7i 4+8i]

16. MATLAB Command Window » who Your variables are: a b c » whos Name Size Bytes Class a 8x8 512 double array b 9x9 648 double array c 9x9 648 double array Grand total is 226 elements using 1808 bytes

17. Matrix Addition » A = [ 1 1 1 ; 2 2 2 ; 3 3 3] » B = [3 3 3 ; 4 4 4 ; 5 5 5 ] » A + B ans = 4 4 4 6 6 6 8 8 8

18. Matrix Subtraction » A = [ 1 1 1 ; 2 2 2 ; 3 3 3] » B = [3 3 3 ; 4 4 4 ; 5 5 5 ] » B - A ans = 2 2 2

19. Matrix Multiplication » A = [ 1 1 1 ; 2 2 2 ; 3 3 3] » B = [3 3 3 ; 4 4 4 ; 5 5 5 ] » A * B ans = 12 12 12 24 24 24 36 36 36

20. Matrix - Power » A ^ 2 ans = 6 6 6 12 12 12 18 18 18 » A ^ 3 ans = 36 36 36 72 72 72 108 108 108

21. Matrix Transpose A = 1 1 1 2 2 2 3 3 3 » A' ans = 1 2 3

22. Matrix Division Left Division \ x = A\B (is A*x=B) >> A = rand(4) >> B = rand(4) >> C = A \ B => A * C = B Right Division / x=A/B (is x*A=B) >> A = rand(4) >> B = rand(4) >> C = A / B => C * A = B

23. Matrix Operations +Addition -Subtraction *Multiplication ^Power ‘Conjugate Transpose \ Left Division /Right Division Add matrices Subtract matrices Matrix Multiplication Raise to the power Get transpose x = A\B (is A*x=B) x=A/B (is x*A=B)