Variables & Matrices

Matrices: The Core of MATLAB

In MATLAB, everything is a matrix. A single number is a 1x1 matrix.

% Row vector
r = [1 2 3];
% Column vector
c = [1; 2; 3];
% 2x2 Matrix
M = [1 2; 3 4];

Creating Special Matrices

• zeros(3,3): 3x3 matrix of zeros
• ones(2,4): 2x4 matrix of ones
• eye(3): 3x3 Identity matrix

Operators & Expressions

Element-wise vs Matrix Operations

This is a critical concept in MATLAB. Use a dot . for element-wise operations.

A = [1 2; 3 4];
B = [2 2; 2 2];

C1 = A * B; % Matrix multiplication
C2 = A .* B; % Element-wise multiplication ([1*2 2*2; 3*2 4*2])

Control Flow

Conditional Logic

if x > 0
    disp('Positive')
elseif x < 0
    disp('Negative')
else
    disp('Zero')
end

Scripts & Functions

Creating a Function

function area = calcCircleArea(r)
    area = pi * r^2;
end

Arrays & Matrix Operations

Linear Algebra

A = [1 2; 3 4];
inv(A) % Inverse
det(A) % Determinant
eig(A) % Eigenvalues

Plotting & Visualization

2D Plotting

x = 0:0.1:10;
y = sin(x);
plot(x, y, 'r--', 'LineWidth', 2);
title('Sine Wave');
xlabel('Time');
ylabel('Amplitude');
grid on;

Data Import & Export

Reading Data

T = readtable('data.csv');
data = T.Variables;

Symbolic Math

Solving Equations

syms x
eqn = x^2 + 5*x + 6 == 0;
S = solve(eqn, x);

Programming Structures

Cell Arrays & Structs

C = {1, 'text', magic(3)};
S.name = 'Project';
S.value = 100;

Simulink & App Designer

Introduction to graphical programming and building interactive apps within MATLAB.

Capstone: Engineering Analysis

Process a large dataset of sensor readings, filter noise, and generate a multi-panel visualization report.

% Project steps:
% 1. Import raw sensor data
% 2. Apply a moving average filter
% 3. Compute statistical metrics
% 4. Export findings to a PDF report