How to create or what algorithm to apply for the "command line"?

Question

Mathematics

I have a matrix class written in C#.
That is, all overloaded operators, etc. are available.
I want to implement operations on matrices by entering an expression into the console.
For example: A+B=C, 3*A+B*D=C and so on.
Matrices are set and created after entering the entire expression.
How can this be implemented? Only some confusing and complex algorithms come to mind.

Answer 1

A typical task of writing a "calculator", IMHO. You will only need to replace the standard operators with your matrix ones.