So I am taking a statistics course and finding this concept kinda challenging. wondering if someone can help me with the following problem!
Suppose X is a discrete random variable with moment generating function
M(t) = 2/10 + 1/10e^t + 2/10e^(2t) + 3/10e^(3t) + 2/10e^(4t)...
Hi, i was wondering if someone could please help to find and classify the critical points of :
f(x,y) = (x-y)^2
What i know:
I got fx = 2(x-y) and fy = -2(x-y)
and in order to find the critical points we need to solve:
-2(x-y) = 0
so if x =y then the above hold.
I was wondering if someone could give me a couple hints on how to tackle the following proof!
Let f(x,y)= [ (lxl ^a)(lyl^b) ]/ [(lxl^c) + lyl^d] where a,b,c,d are positive numbers.
prove that if (a/c) + (b/d) > 1
then limit as (x,y) -> (0,0) of f(x,y) exists and equals zero.
the dimension of the column space of M is the rank of M
and we know that dim (null M)= 0 since the null space of M is just the zero vector
and since rank = m - (dimension of the null space of M)
so rank is m?
I was wondering if anyone could help me to solve the following problem!
Let L : [R][n] ->[R][m] and M :[R][m]-> [R][m] be linear mappings.
Prove that if M is invertible, then rank (M o L) = rank (L)