Define the following operation on Zn: { [1] if a = b (mod 5) [0] if a zb (mod 5) (a] * (b] = (a) Is * a well-defined operation on Z4? (b) Is * a well-defined operation on Zg? Justify your answers.

Equations and inequalities describe the relationship between two mathematical expressions.

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.