Recent content by MathsNoobie

oh wait, I think I have understood why my multiplication doesn't work. Just now, I used your forumale of PD^nP^-1 instead of P^-1D^nP which my lecturer gave to me. It turns out your forumale actually works. Thanks a lot, now I can finally be relieved for my maths exam.

Yeah I swapped P's columns and changed D. I first also thought I did some multiplication error but then I tried the multiplication with Maple and it seems no different to the paradoxical conclusion that I came to.

I think I should have given an example. Let A be l 1 -2 l l -2 4 l with Eigenvalue 0 and 5 if 0 I set it as l 2 l l 1 l if 5 I set it as l 1 l l -2l if I set P l 2 1l l 1 -2l with D as the diagonal matrix then A^3= (P^-1)D^3P A^3 = l 25 -50l l-50 100l this is correct if...

Hey, I have a similar question to this but the posts here doesn't seem to solve my problem. I need to solve a matrix to to a certain power by using the diagonal matrix. It seems with different arrangement of eigenvalues gives me different answers. Out of the different arrangment they seem to be...

Homework Equations Need to integrate x^2/((x^2-1)^(1/2)). The Attempt at a Solution I first broke the equation into (x^2-1)^(1/2) + (x^2-1)^(-1/2) Hence Integral (x^2/((x^2-1)^(1/2))) = Integral((x^2-1)^(1/2)) + Integral((x^2-1)^(-1/2))) Further on Integral((x^2-1)^(1/2)) is an...