Determine the characteristics of the following system with input/output relation

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Determine the characteristics of the following system with input/output relationship?

Determine the characteristics of the following system with input/output relationship
x(sub e) = x with e as subscript, etc

y[n] = (x(sub e)[u[n]] ) / x(sub o)[n]

where y[n] is the output,
x[n] is the input,
x(sub e)[n] = even part of x[n]
x(sub o)[n] = odd part of x[n]

The system given is:
(1.a) ____ Causal _____ Non-causal
(1.b) ____ Non-linear _____ Linear
(1.c) ____ Memoryless _____ With memory
(1.d) ____ Time-invariant _____ Time-variant
(1.e) ____ BIBO Stable _____ BIBO Unstable

Thanks in advance Determine the characteristics of the following system with input/output relationship
x(sub e) = x with e as subscript, etc

y[n] = (x(sub e)[u[n]] ) / x(sub o)[n]

where y[n] is the output,
x[n] is the input,
x(sub e)[n] = even part of x[n]
x(sub o)[n] = odd part of x[n]

The system given is:
(1.a) ____ Causal _____ Non-causal
(1.b) ____ Non-linear _____ Linear
(1.c) ____ Memoryless _____ With memory
(1.d) ____ Time-invariant _____ Time-variant
(1.e) ____ BIBO Stable _____ BIBO Unstable

Thanks in advance

Explanation / Answer

sytem is

(1.a) ____ Causal _____
(1.b) ______ Linear
(1.c) ____ Memoryless __
(1.d) ____ Time-invariant _

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