Given that S1 and S2 are two discrete time systems. Consider the following statements: i) If S1 and S2 are linear, then S is linear ii) If S1 and S2 are non-linear, then S is non-linear. iii) If S1 and S2 are causal, then S is causal. iv) If S1 and S2 are time invariant, then S is time invariant. The true statements from the above are ____________Select one:1. i, ii, iii2. I, ii, iii, iv3. ii, iii, iv4. I, iii, iv

For each of the following discrete time systems, where y[n] and x[n] are respectively theoutput and input sequences, determine whether the system is (i) linear, (ii) causal, (iii)stable and (iv) shift-invariant.(a) y[n] = n2x[n],(b) y[n] = x4[n],(c) y[n] = αx[-n], α is a non-zero constant and(d) y[n] = x[n-5]e) y[n] = x[2n]f) y[n] = x[n]x[n-1]

A discrete-time system is defined as y(n)= x(n^3). The system is 1 pointCausal, non-linear and time-invariantnon-causal, linear and time-invariantCausal, linear and time-invariantCausal, linear, and time-variantnon-causal, non-linear and time-variantnon-causal, linear and time-variant

Q3. a) Show that if a system is either additive or homogeneous, it has the property that ifinput is identically zero, then output is also identically zero.b) Determine a system that is neither additive norhomogeneous but which has a zero output if the input is identically zero.c) From part a) can you conclude that if input to a linear system is zero between timesn1 and n2 in discrete time, then its output must also be zero between these sametimes? Explain your answer.

Which of the following is true?(1) A real-time LTI system is causal.(2) A real-time LTI system is linear.(3) A real-time LTI system is additive.(4) A real-time LTI system is time variant.(5) A real-time LTI system is memoryless.Selected Answer: [None Given]Answers: (1), (3) and (4)(1), (2) and (4) (1), (2) and (3)(2) and (4)(1), (2), (4) and (5)All of them

which of the following system is a causal system?(a) y(t)=sin[u(t+3)](b) y(t)=5u(t)+3u(t-1)(c) y(t)=5u(t)+3u(t+1)(d) y(t)=sin[u(t-3)]+sin[u(t+3)]