Matrix arithmetic operators

Matrix arithmetic operators obey the rules govern by the linear algebra for matrix multiplication, division, addition, subtraction, transpose and etc.

? These operators are not followed by a dot as in array arithmetic operators.

?Addition and subtraction is same in both array arithmetic operations (dot operations) and a matrix arithmetic operation that’s why addition and subtraction are not followed by a dot in dot operations. These operators exist only without followed by a dot.

Some examples are listed below along with relevant operator.

Operators	× (multiplication)	-            (subtraction)	\ (right division)	/ (left    division)	‘ (transpose)	+ (addition)
Example	a=[1 2;3 4] b=[4 5;6 8] result=a*b a=1   2   3   4 b=4   5   6   8 result =16   21 36   47	a=[1 2;3 4] b=[4 5;6 8] result=a-b a=1   2   3   4 b=4   5   6   8 result =-3    -3 -3    -4	a=[1 2;3 4] b=[4 5;6 8] result=a\b a=1   2   3   4 b=4   5   6   8 result= -2.0 -2.0 3.0  3.5	a=[1 2;3 4] b=[4 5;6 8] result=a\b a=1   2   3   4 b=4   5   6   8 result = -2.0  1.5 0     0.5	a=[1 2;3 4] result=a’ a=1   2   3   4 result=     1     3 2     4	a=[1 2;3 4] b=[4 5;6 8] result=a+b a=1   2   3   4 b=4   5   6   8 result = 5     7 9    12