2. Symbolic expressions

The objective here is to model mathematical expression by objects' structure as illustrated below, and then evaluate an expression or print it in various format (postfix, infixe and/or prefix).

Questions
A. To proceed, implement the following model and test it by modeling the preceding example.

B. Transform the model into a parametrized one and use it to model vectorial expressions, e.g. "[1,2]+[3,3]*[1,1]" (evaluated to "[4,5]").

C. Extends the model by introducing the concept of "variable" (e.g. "X"). Then, by using a Map to store the values of the variables (eg. [("X",2),("Y",3)]), define and evaluate the expression "1+X*Y".

answer