Let P be linearity, Q be time-invariance, R be causality and S be stability. A discrete-time system has the input-output relationship,
\[y\left( n \right) = \left\{ {\begin{array}{*{20}{c}}
{x\left( n \right),}&{n \geqslant 1} \\
{0,}&{n = 0} \\
{x\left( {n + 1} \right)}&{n \leqslant - 1}
\end{array}} \right.\]
Where x(n) is the input and y(n) is the output.
The above system has the properties
A. P, S but not Q, R
B. P, Q, S but not R
C. P, Q, R, S
D. Q, R, S but not P
Answer: Option A

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