Final answer:
The frequency response H(e^jω) cannot be determined for the given unit sample response, as it suggests an unbounded response that is not physically realizable for a stable and causal LSI system.
Step-by-step explanation:
To find the frequency response H(ejω) of an Linear Shift-Invariant (LSI) system, we need to apply the Fourier transform to the unit sample response h[n]. However, the given unit sample response h[n] = 3nu[-n] + 2nu[-n] does not seem correct as it suggests an unbounded response for n going to negative infinity, which is not physically realizable for a stable system. A typical approach to find the frequency response involves applying the Fourier transform to a physically realizable impulse response. For an example, if the unit sample response was instead given by h[n] = (αnu[n]), where α is a constant and u[n] is the unit step function, the frequency response can be calculated using the formula:
H(ejω) = ∑ h[n] e-jωn
For stable systems, α should have a magnitude less than 1. However, since the provided unit sample response does not lead to a stable and causal system, it's not possible to find a legitimate frequency response for the given h[n].