Final answer:
To find the z-transform of v₁(n) = v(-n), substitute n with -n in the original z-transform V(z), resulting in V(z⁻¹) due to the time-reversal property of the z-transform.
Step-by-step explanation:
The z-transform of a sequence v(n) is a powerful tool in analyzing and solving difference equations and systems in the discrete-time domain. When trying to find the z-transform of the time-reversed sequence v1(n) = v(-n), one can use the property of time reversal in z-transforms. To find the z-transform of v1(n), we would substitute n with -n in the original z-transform V(z). Mathematically, if V(z) is the z-transform of v(n), then the z-transform of v1(n) is V(z-1). This is because z-transform involves zn terms, and reversing time would replace n with -n, hence introducing a reciprocal of z in the power.