Recent content by strugglinginmat

It seems like I have all the math requirements for U of Michigan. But I want to apply to programs where they want more quantitative skills because that seems the most valued thing for this degree. For instance NYU's program is very mathematical. I am wondering if I am cut for these kinds of...

I have a B.S in biochemistry and a minor in mathematics. In actuality I have taken additional courses after fulfilling the requirement for the math minor. The courses that I have taken are: Cal I, II, III, Linear algebra, Mathematical stats I & II, Differential Equation. I am interested in...

I am trying to understand the concept of limit for a single variable case. I don't understand why while defining a limit a function may not be defined at the point? For a function to be continous, why should we care about the existence of limit when we can define the function at every point on...

I understand the definition of trace and linear operator individually but I don't seem to understand as to what does it mean by trace of a linear operator on a finite dimensional linear space. What I have found out is that trace of a linear operator on a finite dimensional linear space is the...

Can anyone help with finding the determinant of vandermonde matrix or the way in which I can start the problem. I did with 4X4 matrix but I would have to show that the generalisation that I get works for nXn matrix. Please anyone

(123)x=a (456)y=b (789)z=c For which values (a,b,c) does the above equation have a solution where a,b,c,x,y,z belong to R? Initially I found the determinant of the above matrix and it was O. From this I know that there will be nontrivial solution solutions for (a,b,c) = (0,0,0). But I am...