2. (a) [10 pts.] Using basic properties of the convolution operator (linearity. distributix-rity. associativity and conunutatiyity] simplify the system in Fig. 6. Le. express them as a single box with single input and single output. Assume that 9'1: 92, and 93 are the impulse responses of the systems 5'1, 5'2 and 53, respectively. Your goal is to find the impulse response 9. (a _ _ y} _. SI u l +1 Y3 4 y u - - y ;. i s3 l r. i s l .. - s2 I l - - y2 g=? Figure 6: Complex system (b) [10 pts.] Using basic properties of the convolution operator (linearity. distributi'x-rity. associativity and commutativity) simplify the system in Fig. 7, Le. express it as a single box with single input and single output. Assume that 91: 92, 9'3 and 94 are the impulse responses of the subsystems 5'1; 3+3; 53 and 54, respectively. Your goal is to find the impulse response 9