•x and y represent numerical values or variables. •m, n, and p represent integer values or variables. •a and b represent boolean values or variables. •U and V represent matrices of numerical values. •A and B represent matrices of boolean values.
Arithmetic operators
Operator
Operator name
Syntax
+
Addition
x+y
U + V (U and V are m x n matrices)
-
Subtraction
x-y
U + V (U and V are m x n matrices)
*
Multiplication
x*y
U*V (U is an m x n matrix and V is an n x p matrix)
/
Division
x/y
%
Modulus
m%n
U + V (U and V are m x n matrices of integer values).
This operator operates element-wise on matrices.
!
Factorial
m!
^
Power
x^y
\
Left division
x\y is equivalent to (1/x) * y
U \ V (U and V are m x n matrices) is equivalent to (1/U) * V
.*
Element-wise multiplication
U .* V (U and V are m x n matrices)
./
Element-wise division
U ./ V (U and V are m x n matrices)
.\
Element-wise left division
U .\ V (U and V are m x n matrices) is equivalent to (1/U) .* V
.^
Element-wise power
U .^ V (U and V are m x n matrices)
Note
An Element-wise operator performs an operation on each pair of Elements, which is in the same location, of the operand matrices.
Assignment operators
Operator
Operator name
Syntax
=
Assignment
x=y
a=b
U=V
Comparison operators
Operator
Operator name
Syntax
>
Greater
x>y U>V
<
Less
x<y U<V
>=
Greater or Equal
x>=y U>=V
<=
Less of Equal
x<=y U<=V
==
Equality
x==y
a==b
U==V
!=
Inequality
x!=y
a!=b
U!=V
All comparison operators operate Element-wise on matrices in the example as follows
A = [1; 2; 3] B = [3; 2; 1]
Then A>B is [false; false; true];
Boolean operators
Operator
Operator Name
Syntax
!
NOT
not
NOT
!A
NOT A
not A
&
AND
and
AND
A&B
A AND B
A and B
|
OR
or
OR
A|B
A OR B
A or B
^
XOR
xor
XOR (exclusive OR)
A^B
A XOR B
A xor B
Important
All boolean operators operate element-wise on matrices in the example as follows
A = [true; true; false; false]; B = [true; false; true; false];
