hello every one signal and system properties of system Linearity I did my problem you can check my solution it is true?
I'm assuming that you mean y[n] = x²[n-1] If so, then this says that the present value of y is equal to the square of the previous value of x. This is NOT the same as y[n] = x²[n] - x² This says that the current value of y is equal to the square of the current value of x minus the square of something that is not even at a defined time.
if change the equation to X1 = X1 [ Xn - X ] X2 = X2 [ Xn -X ] X3 = X1 +X2 ==> ( X1 [ Xn - X ] + X2 [ Xn -X ] ) X3 = X3 [ Xn -X ] X3 = X1 +X2 ( linearity) thank you for reply
So, if you had the continuous time signal y(t) = x²(t-1sec) are you saying that you would rewrite this as y(t) = x(x·t - x·1sec) Does that make ANY sense whatsoever?
There is no point moving on to the distinction of linear and non-linear systems until you are clear on what a system is to begin with.