polynomial of x and y

Input:

syms x y

p=x*y

q=y*x

Output:

p=x*y

q=x*y

In my code, x*y is not equal to y*x. I want q as y*x, not x*y. By default Matlab is treating x*y as y*x.

I need help with this.

Thank You.

[Torsten]

MATLAB assumes commutativity of multiplication. Thus computations in general non-commutative rings or similar algebraic structures is not possible (at least to the best of my knowledge).

Answer 1

[Anjaneyulu Bairi]

By default, MATLAB assumes all individual symbolic variables to be scalars, which inherently implies commutativity for scalar multiplication. Therefore, it is not possible to disable the commutative property for scalar symbolic variables in MATLAB.

Below MATLAB Answer might give you more information and there is a workaround mention which says define your symbols as matrices to remove commutative property.

https://www.mathworks.com/support/search.html/answers/505682-how-to-remove-commutativity-from-symbolic-multiplication.html