Recent content by Neoon

Thank you for your valuable help I really appreciate

Ok, I appreciate your clarification about eigenvectors. Now, for the generalized eigenvectors, what if we have k, the multiplicity, equal to m, the number of eigenvectors so d, the difficiency, equal to zero? Do we have a gineralized eigenvector in this case?

Just a short question: If I have d= defficiency = 0 Do I have a generalized eigenvector?

I appreciate any ubdates on the topic.Neoon:confused:

Thanks Office Shredder Thanks very much. I really appreciate your valuable help

Hi all, Just a small question: I came across a problem to solve a differential equation using Laplace transform. I solved the major part but only still a part where I had to inverse transform the following experssion: (exp(-s))/(s^2) I looked in Laplace Transform Tables but did not...

So the basis of the subspace when s=0 is: x*(1,0,0,1), y*(0,1,0,1), z*(0,0,1,0) And similarly the basis when s=2 is: x*(1,0,0,1), y*(0,1,0,1), z*(0,0,1,2) Both with dimension= 3 As per your comment before: I became an expert in subspaces, now, am I an expert in dimensions and bases or...

I went and looked in other books and found a similar example. In that example, the book found the rank first of a matrix containing all possible vectors. So, I tried to find the dimension by first finding the rank as the following: For s = 2: Let x = a, y = b, z = c -- w = a+b+2c...

I want to clarify that H(t-1) and H(t-2) is the Hiviside function.

Thanks all for your help I went back and solved it using the hint of the expanding using 2nd row and I have four eigenvalues: -2, -2, 1, -1. You might missed the last eigenvalue. Then, I found the eigenvectors. It turned out to have only 2 eigenvectors for -2 & 1 since the eigenvector of...

Gents, I have this problem: find the inverse laplace transfor for Y1(s) = exp(-s)/s^2 Y2(s) = {1/[4*(s+1)]}*exp(-2*s) my solution is: using the 2nd shifting theroem y1(t) = (t-1) H(t-1) y2(t) = (1/4)*exp(2-t)*H(t-2) Is my solution correct?

Office_Shredder, I hope I understand what you want me to find. In the case s=0 Say x = a, y = b lead to w = x + y = a + b, w is determined based on x & y (a & b) Or say x = a, w = b lead to y = w – x = b – a, y is determined based on x & w (a & b) Or finally say or say y = a, w =...

Lets choose x=1, y=1, w=2 in the case where s=0 x+y-w=1+1-2=0 which satisfy the equation or Choose x=2, y=2, w=4 in the case where s=0 x+y-w=1+1-2=0 which is also satisfy the equation …etc And choose x=1, y=1, z=1 w=4 in the case where s=2 x+y+sz-w=1+1+2(1)-4=0 which satisfy the...

Thanks Radou You said ("Yes, you should" find the basis to find the dimension). But the question statement is as the following:" Find the dimension of the subspace and provide a basis for it", so here it is the other way around. I am really confused. Could you please clarify this point for me?

Yes I have read some books that mintion the definition of the basis and dimention. Basis: is a linearly independent set of vectors that spans the space. My problem is with the span because for example the following three vectors (1 (0 (0 0 1 0 0) 0)...