Question

What is the rule h*(x*c) = (x*h)*c called?

(a) Commutativity rule

(b) Associativity rule

(c) Distributive rule

(d) Associativity and Commutativity rule

This question was addressed to me in an interview.

Query is from Properties of LTI Systems topic in chapter Time-Domain Analysis of CT Systems of Signals and Systems

Answer 1

Correct option is (d) Associativity and Commutativity rule

The best explanation: By definition, the commutative rule i h*x=x*h and associativity rule = h*(x*c) = (h*x)*c.