any deep thinking on why linear systems are commutative?

From: kiki (lunaliu3_at_yahoo.com)
Date: 10/25/04 

Date: Mon, 25 Oct 2004 11:38:55 -0700

Dear all,

Could you please help me understand better by providing some deep thoughts
on why linear systems are commutative?

If T1 and T2 are linear systems, then y1=T2(T1(x)) and y2=T1(T2(x))

y1 and y2 are the same.

After seeing some examples of non-linear system and linear systems. I got
convinced that for non-linear system this property does not hold.

But any deeper thinking? Proof?

Thanks a lot!

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