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Consider the following statements:
(1) If S1 and S2 are linear and time invariant, then interchanging their order does not change the system.
(2) If S1 and S2 are linear and time varying, then interchanging their order does not change the system. Of these statements true statements are
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- Both (1) and (2)
- Only (1)
- Only (2)
- None of these
Correct Option: B
For example
S1 : y[n] = nx[n]
S2 : y[n] = nx[n + 1]
If x[n] = δ[n], then
S2 {S1 {δ[n]}} = S2[0] = 0,
S1{S2{δ[n]}} = S1{δ[n + 1]} = – δ[n + 1] ≠ 0
