These theorems are right in all sense..
x(n)*delta(n)=x(n)
x(n)*delta(n-n0)=x(n-n0)
x(n).delta(n)=x(0)
x(n).delta(n-n0)=x(n0)
and u have done it in a wrong way and so u got it wrong. That just meant that u r wrong not the theorom...
Span is the space of vectors, in which all vectors in the span will be able to represent as the linear combination of its fundamental vectors. eg: a span of vectors (1,0) and (0,1) is the entire 2 dimensional space. Because any vector in 2_d space can be represented as a linear combination of...
There is a standard method for finding the pdf of DRV's. That is just by counting the number of occurences of the particular value and dividing that count by the total number of samples u consider for this. When the number of samples considered becomes larger, more accuarte will be the pdf...