Please include details For the discretetime system yn n xn

For the discrete-time system y[n] = n x[n] u[n - 1], is the system a) linear? b) BIBO stable? c) time invariant? d) memoryless? And e) causal? Prove or justify your answer.

Solution

it is option e i.e..causal system...

because the output depends only on the present value and the previous value but not on the future value therefore the system is causal system.........