Recent content by rsa58

write the equation clearly.

I guess what I'm asking is, what form of LU decomposition are you trying to perform, your version is incorrect of you are seeking a unique LU decomposition. what class is this for? P is known as a permutation matrix. It is an elementary matrix used for pivoting the rows and columns of A. I...

yeah i think you're right, since the limit exists from the right f is continuous near c, but i think that is essential.

okay now I'm confused. you end up with PA=LU, right? or A=((P^-1)L)U. anyway i don't think your decomposition is unique because you stopped the elementary operations before you came up against a unit upper triangle.

wait wait wiat that could be wrong

hey, i see what you mean about using the FTC, but be careful the second version of the fundamental theorem is only applicable is f has an anti-derivative, otherwise we should assume it's continuous. here is a proof that does not require epsilon-del. Suppose that F is differentiable at x, then...

here is a way to think about it. a jump discontinuity will always look like a jump in the graph of f, right? so the integral up to c from the left will be an area. but past f this area is also going to make a jump right? therefore F is discontinuous so it is not differentiable.

okay here it is. the PDF of Ymin is f(y)=(-n/theta)*exp(-yn/theta). To get this we need to use the following (questionable?) sequence of logic: the probability that ymin is less than y is 1 minus the probability that ymin >= x. for this inequality to hold we need Y(i)>=x for all i. i.e...

i take that back give me a sec

where did you get the eqn for Ymin it makes no sense.

note, that L and U can be obtained from A after A has been reduced to a lower triangular system with multipliers on its upper triangular half in which can we take U to be the upper triangle part of the modified matrix A'. and L the lower triangle part.

Okay, first the LU decomposition is typically used to solve a system of linear equations, right? now in the process of Gaussian elimination for a system of lin. eqs. we use multipliers which when applied to a matrix A, (the coefficient matrix) perform the function of reducing A to a unit upper...

okay i think i got it if dim(R(T))=0 then ofcourse x is in the null space of T.

Homework Statement T is a linear operator on a finite dimensional vector space. then N(T*T)=N(T). the null space are equal. Homework Equations The Attempt at a Solution this is my method, but its does not work if dim(R(T))=0. I'm only concerned with showing N(T*T) \subseteq...

oh wait, a >1