1. Verify that the tandem connection of two LTI single-input single-output systems has the commutative property; that is, the order of the two systems can be interchanged. Does this property hold for multi-input multi-output systems?
2. What is the output excited by sin 2t of the tandem connection of a differentiator followed by a multiplier with time-varying gain t? What is the output if the order of the differentiator and multiplier is interchanged? Does the commutative property hold for time-varying systems?