Matlab Operations

In MATLAB, “operation” does not refer to mappings in the broad sense; it means simple, direct, at-most-binary calculations expressed via operators or operator-equivalent functions. They fall into four kinds:

• Matlab Arithmetic Operations
  • Matlab Array Operations
  • Matlab Matrix Operations
• Matlab Relational Operations
• Matlab Logical Operations
• Matlab Set Operations

For the first three kinds, this note focuses on Matlab Operator usage. MATLAB has no operator for Matlab Set Operations, so that kind is implemented purely through functions.

Matlab Operator

Matlab Operator

Operator

• Arithmetic Operations
• Relational Operations
• Logical Operations
• String and Character Formatting
• Other
• Operator Precedence

Matlab Arithmetic Operations

Symbol	Role
+	Addition; Unary plus
-	Subtraction; Unary minus
.*	Element-wise multiplication
*	Matrix multiplication
./	Element-wise right division
/	Matrix right division
.\	Element-wise left division
\	Matrix left division (also known as backslash)
.^	Element-wise power
^	Matrix power
.'	Transpose
'	Complex conjugate transpose

Matlab Relational Operations

Symbol	Role
==	Equal to
~=	Not equal to
>	Greater than
>=	Greater than or equal to
<	Less than
<=	Less than or equal to

Matlab Logical Operations

Symbol	Role
&	Find logical AND
&&	Find logical AND (with short-circuiting)
~	Find logical NOT

String and Character Formatting

Symbol	Effect on Text
''	Single quotation mark
“	Cell delimiter
%{ %}	Block comments that extend beyond one line
!	Operating system command
?	Metaclass for MATLAB class
~	Argument placeholder to suppress specific input or output arguments
< &	Specify superclasses
.?	Specify fields of name-value structure when using function argument validation

Operator Precedence

1. ()
2. ~, sign +, -
3. ^, .^, transpose ', .'
4. .*, *, ./, /, .\, \
5. +, -
6. :
7. <, <=, ==, >=, >, ~=
8. &
9. |
10. &&
11. ||

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