1. Announcements

2. Matrices Matrix – Two Dimensional Array MatLab Creation :
matrixName = [ 1,3,5;2,4,6 ];
Row – Horizontal Values
Column – Vertical Values
Element – One Member (Value) in an Array
Offset or Subscript – For Matrix, given as Row, Column Pair (e.g., matrixName(1,2) )

3. Matrix Creation >> matrixOne = [1,2,3;3,4,5];
>> disp(matrixOne)
>> rowV = [9, 10];
>> rowV2 = [11,12];
>> matrixTwo = [rowV;rowV2];
>> disp(matrixTwo)

4. Matrix Addressing >> disp(matrixFour) 1 2 3 9 10 3 4 5 11 12
>> disp(matrixFour(1,1)) 1
>> disp(matrixFour(2,5)) 12
>> disp(matrixFour(-3,1))
Subscript indices must either be real positive integers or logicals.
>> disp(matrixFour(1,1000))
Index exceeds matrix dimensions.
>> matrixFour(1,7) = 1000;

5. Matrix Addressing (Cont)
Colon (:) means “all” or range
>> disp(matrixFour)
>> disp(matrixFour(:,4)) 9 11
>> disp(matrixFour(2,:))

6. Matrix Addressing (Cont)
>> disp(matrixFour)
>> disp(matrixFour(:,2:5))

7. Matrix Scalar Operations
>> disp(matrixFour)
>> disp(matrixFour + 2)
>> disp(matrixFour * 2)

8. Matrix Vector Multiplication
Number of Cols in Matrix *Must* Equal Number of Rows in Vector
>> matrixOne = [1,2,3;4,5,6];
>> vectorOne = [2;2;2];
>> disp(matrixOne);
>> disp(vectorOne); 2
>> disp(matrixOne * vectorOne); 12 30

9. Matrix Matrix Multiplication
Number of Cols in Left Hand Matrix *Must* Equal Number of Rows in Right Hand Matrix
>> disp(matrixOne);
>> vectorOne = [2;2;2];
>> matrixTwo = [vectorOne, vectorOne * 2];
>> disp(matrixTwo);
>> disp(matrixOne * matrixTwo);

10. Matrix Matrix Multiplication
Number of Cols in Left Hand Matrix *Must* Equal Number of Rows in Right Hand Matrix
>> disp(matrixOne);
>> disp(matrixTwo);
>> disp(matrixTwo * matrixOne);

11. >> matrixTwo = [matrixTwo; [1,1]];
>> disp(matrixTwo); >> disp(matrixOne);
>> disp(matrixTwo * matrixOne);
>> disp(matrixOne * matrixTwo);
Error using *
Inner matrix dimensions must agree.

12. >> matrixThree = [2,2;1,1];
>> disp(matrixThree);
>> matrixFour = [3,4;5,6]
>> disp(matrixFour);
>> disp(matrixThree .* matrixFour);
>> disp(matrixThree * matrixFour);

13. Matrix Exponenent >> disp(matrixTwo) 1 2 3 4 5 6 7 8 9
>> disp(matrixTwo.^2)
>> disp(matrixTwo^2)

14. Matrix Functions >> disp(matrixFive); 9 3 5 0 8 -9 11 16
>> disp(sum(matrixFive))
>> disp(sum(sum(matrixFive))) 43

15. Matrix Functions >> disp(matrixFive); 9 3 5 0 8 -9 11 16
>> disp(max(matrixFive));
>> disp(min(matrixFive));
>> disp(max(max(matrixFive))); 16

16. Matrix Functions >> disp(matrixFive); 9 3 5 0 8 -9 11 16
>> disp(length(matrixFive)) 4
>> disp(size(matrixFive))
>> disp(sort(matrixFive))

17. Matrix Functions >> disp(vectorOne); 1 2 3 4 5 6 7 8 9 10
>> disp(vectorTwo);
>> plot (vectorOne, vectorTwo)

18. >> disp(vectorOne);
>> disp(vectorTwo);
>> plot (vectorOne, vectorTwo)

19. More MatLab Plotting Setting Axes, Grid Marks Labels
Plotting Functions
Labeling
Files
Data Files
Spreadsheet Files
Statistics, Probablity, Higher Math
Random Numbers
Normal Distribution
Linear Equations
Calculus