hmmm.. if they are defined as square matrices, the tr(AXB) would be given by A_ii*X_ii*B_ii so that tr(AXB) is a square matrix whose diagonal elements are all AXB correct? If not, there is definitely something here that I am missing...
I have encountered some problems that have to do with the derivatives of matrices... I have NO experience with these and had little luck finding any theorems... I looked on wikipedia for some help and found a few definitions, but I am still unclear about how this is proven or attained... here is...
Homework Statement
integral of x|x|dx.. [-1,1]
The Attempt at a Solution
when graphing it, it is even (looks like the cubic function) and would be 0... but I am having problems convincing myself of this. i checked it out using my calculator, and it just gives back x|x|.. i know if you...
I am sorry for the terrible notation.. Your latex example is what i meant. Here is how it is written: Let X= (Xn) be the sequence of real numbers that converges to x and suppose that Xn is greater or equal to 0. Then the sequence Sqrt(Xn) of positive roots converges an lim(sqrt(Xn)=sqrt(x)...
Homework Statement
Ok, so I was reading my Real Analysis Text and there was a proof that Lim sqrt(Xn)=Lim sqrt (X). They had two cases, one where Xn=0 where they use the Delta-Epsilon limit test and it makes perfect sense to me. However, they also show the example where x>0. obviously since...