= MATLAB Variables =

'''Variables''' contain [[MATLAB/DataTypes|statically-typed data]].

<<TableOfContents>>

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== Description ==

All data types in MATLAB are arrays.

Variables are names that represent a data value.



=== Declaration ===

Variables are declared using the equals sign (`=`). To suppress printing of the value assigned, complete the declaration with a semicolon (`;`).

{{{
>> m=3*5

m =

    15
>> m=3*5;
}}}

Variable names must start with a letter and must contain only letters, numbers, and underscores (`_`). Variable names are case-sensitive.

If an interactive command tries to declare a variable with an invalid name, the prompt is re-filled where the name is replaced with a suggested 'fix'.

To declare a variable with more than 1 element, try:

{{{
r=[3 5]
}}}

This is a '''row vector'''. To instead declare a '''column vector''', try:

{{{
c=[3; 5]
}}}

To declare a '''matrix''', mix the two syntaxes:

{{{
M=[1 2; 3 4]
}}}



=== Concatenation ===

To '''concatenate''' arrays ''horizontally'', try:

{{{
A=[c M]
}}}

To concatenate arrays ''vertically'', try:

{{{
B=[r; M]
}}}



=== Accessing elements ===

Elements of an array are accessed by '''indexing'''; note that arrays index from 1.

{{{
first = A(1)
last = A(end)
middle = A(2:end-1)
}}}

Note that `2:end-1` expands to the row vector `[2 3 ... end-2 end-1]`. In other words, any row vector can be used as an index, and the elements of an indexing row vector do not need to be sequential.

Assignment to elements works as expected.

{{{
A(2) = 1
A(1) = A(2)
}}}

Matrices work in the same way but are indexed by row then column.

{{{
a = A(1,2)
}}}

If only one index is provided to a matrix, it is treated as a flattened vector by stacking all columns.

Rows and columns can be accessed from a matrix like:

{{{
row = A(1,:)
column = A(:,1)
}}}

Lastly, logicals of the same size can be used to index.

{{{
B = A(A < 4)
B(B==1) = 0
}}}



== Unpacking ==

An array can be '''unpacked''' by assigning to multiple variables, like:

{{{
[rows, cols] = size(A)
}}}

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== Workspace ==

Variables exist in a '''workspace'''. To clear the workspace, try `clear`.

To save all variables in the workspace to a file named like `foo.mat`, try `save foo`. To save a subset of variables instead, try `save foo VARLIST`.

To load a workspace from a file, try `load foo`. To load a subset of variables contained in that file, try `load foo VARLIST`.



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