Basics
Command Window
x = 5; % assign (semicolon suppresses output) x = 5 % assign and display result disp('Hello') % print to console clc % clear command window clear % clear all variables
Help & Info
help sin % quick help for function doc sin % open documentation who % list variables in workspace whos % list with details (size, type)
Operators
+ - * / ^Arithmetic (matrix operations)
.* ./ .^Element-wise operations
== ~= < > <= >=Comparison operators
&& || ~Logical AND, OR, NOT (scalars)
& | ~Element-wise logical (arrays)
Variables & Types
Numeric Types
x = 3.14; % double (default) n = int32(42); % 32-bit integer z = 2 + 3i; % complex number tf = true; % logical
Type Checking
class(x)Return type name as string
isa(x, 'double')Check if x is specific type
isnumeric(x)True if numeric type
ischar(x)True if character array
islogical(x)True if logical type
Special Constants
pi3.14159...
Inf / -InfInfinity
NaNNot a Number
epsMachine epsilon (~2.2e-16)
i / jImaginary unit
Arrays & Matrices
Creating Arrays
v = [1 2 3 4 5]; % row vector v = [1; 2; 3]; % column vector A = [1 2; 3 4]; % 2x2 matrix r = 1:5; % [1 2 3 4 5] r = 0:0.5:2; % [0 0.5 1 1.5 2]
Built-in Constructors
zeros(3) % 3x3 of zeros ones(2, 4) % 2x4 of ones eye(3) % 3x3 identity rand(2, 3) % 2x3 uniform random linspace(0,1,5) % 5 evenly spaced [0..1]
Indexing & Slicing
A(2, 3) % row 2, col 3 A(1, :) % entire first row A(:, 2) % entire second column A(1:2, 1:2) % submatrix A(end, :) % last row
Matrix Operations
A'Transpose (conjugate)
A.'Transpose (no conjugate)
inv(A)Matrix inverse
det(A)Determinant
eig(A)Eigenvalues and eigenvectors
A \ bSolve Ax = b
size(A)Dimensions [rows cols]
numel(A)Total number of elements
Control Flow
if / elseif / else
if x > 0 disp('positive') elseif x == 0 disp('zero') else disp('negative') end
for & while
for i = 1:10 fprintf('i = %d\n', i); end while x > 0 x = x - 1; end
switch
switch grade case 'A' disp('Excellent') case {'B', 'C'} disp('Good') otherwise disp('Try harder') end
Loop Control
breakExit the innermost loop
continueSkip to next iteration
returnExit function immediately
Functions
Function File
% Save as myfunc.m function result = myfunc(x, y) result = x.^2 + y.^2; end
Multiple Outputs
function [mn, mx] = minmax(v) mn = min(v); mx = max(v); end [lo, hi] = minmax([3 1 4 1 5]);
Anonymous Functions
f = @(x) x.^2 + 1; f(3) % returns 10 g = @(x,y) x + y; arrayfun(f, [1 2 3]) % apply to each element
Useful Built-ins
sum(v)Sum of elements
mean(v)Mean value
max(v) / min(v)Maximum / minimum
sort(v)Sort ascending
find(v > 3)Indices where condition is true
length(v)Length of vector
Plotting
2D Plots
x = 0:0.1:2*pi; plot(x, sin(x), 'r-', 'LineWidth', 2) xlabel('x'); ylabel('sin(x)') title('Sine Wave'); grid on legend('sin(x)')
Multiple Plots
hold on plot(x, sin(x), 'b-') plot(x, cos(x), 'r--') hold off subplot(1,2,1); plot(x, sin(x)) subplot(1,2,2); plot(x, cos(x))
Other Plot Types
bar(x, y)Bar chart
histogram(data)Histogram
scatter(x, y)Scatter plot
pie(data)Pie chart
surf(X, Y, Z)3D surface plot
imagesc(A)Display matrix as image
Save Figure
saveas(gcf, 'plot.png') exportgraphics(gcf, 'plot.pdf')
File I/O
Text Files
data = readmatrix('data.csv'); writematrix(A, 'output.csv') T = readtable('data.csv'); writetable(T, 'output.csv')
MAT Files
save('workspace.mat') % save all variables save('data.mat', 'x', 'y') % save specific vars load('data.mat') % load into workspace S = load('data.mat'); % load into struct
Low-Level File I/O
fid = fopen('log.txt', 'w'); fprintf(fid, 'Value: %f\n', 3.14); fclose(fid); lines = readlines('log.txt');
String Operations
String vs Char Array
s = "Hello"; % string (double quotes) c = 'Hello'; % char array (single quotes) s + " World" % "Hello World" (string) [c, ' World'] % 'Hello World' (char concat)
String Functions
strlength(s)Length of string
upper(s) / lower(s)Case conversion
contains(s, pat)True if pattern found
replace(s, old, new)Replace substring
split(s, delim)Split into array
join(arr, delim)Join string array
strip(s)Remove leading/trailing whitespace
Formatting
sprintf('x = %.2f', 3.14159) % "x = 3.14" fprintf('i = %d\n', 42) % print to console num2str(3.14) % number to string str2double("3.14") % string to number
Cell & Struct
Cell Arrays
C = {1, 'hello', [1 2 3]}; % mixed types C{2} % access: 'hello' C{end+1} = true; % append element cellfun(@length, C) % apply func to each
Structs
s.name = 'Alice'; s.age = 30; s.scores = [90 85 92]; fieldnames(s) % {'name','age','scores'} rmfield(s, 'age') % remove field
Struct Arrays
people(1).name = 'Alice'; people(1).age = 30; people(2).name = 'Bob'; people(2).age = 25; {people.name} % {'Alice', 'Bob'} [people.age] % [30, 25]
Common Patterns
Vectorized Operations
% Avoid loops — use vectorization v = 1:1000; result = sum(v.^2); % fast idx = v(v > 500 & v < 600); % logical indexing
Table Operations
T = table([25;30], ["A";"B"], 'VariableNames', ... {'Age','Grade'}); T.Age % access column T(T.Age > 25, :) % filter rows
Error Handling
try result = riskyFunction(x); catch ME fprintf('Error: %s\n', ME.message); end
Timing Code
tic heavyComputation(); toc % prints elapsed time