Recent content by Kaspelek

Hi Guys, It has been a while since my last post but it's great to be back. I am having some trouble with part b) of this question. Don't fully understand the concept and what I'm meant to do. Any guidance or assistance would be greatly appreciated. Thanks in advance you legends!

Nope, just what's given in the question. I'm assuming you need to perhaps draw a free body diagram and find the reaction forces to start off?

Yeah that I can deduce, what I'm more unsure of is how to actually derive that deflection formula! Any ideas?

Hi guys, I've come across this problem and I'm not sure on where to start? Any help would be greatly appreciated. :cool:

Suggested that the response is worth 2 marks, thinking there's more.

Hi guys, just an intuitive question I've come across. Quite ambiguous, not sure on the correct response. So basically I'm given a scenario where I'm provided the data of an actual height vs time points of a vertical ball drop and it's bounce up and back down etc. Question starts off where I...

Anyway, I've worked out the inverse matrix to be |1 0 -1| |2 -2 -3| |0 1 1 | I'm not sure about how to do parts b and c) I'm thinking that perhaps for part b) you multiply with respect to that new basis?

shouldn't the matrix be =\begin{bmatrix}{-1}&{\;\;1}&{2}\\{\;\;2}&{-1}&{-1}\\{-2}&{\;\;1}&{2}\end{bmatrix}

Also just working on another question, especially stuck with the last part. It's basically definitions. This is what I've got so far, correct me if I'm wrong. a) k components, k components. b) R^n to R^n c) R^rank(T) d)R^nullity(T) e) Completely unsure (need help with this)

Hi guys, I'm having a little difficulty in converting a set of two bases into a transition matrix. My problem lies in the bases, because they are in polynomial form compared to your elementary coordinate form. How would I go about finding the transitional matrix for this example... Thanks in...

That helped a lot guys, thanks a lot.

Where T(p(x)) = (x+1)p'(x) - p(x) and p'(x) is derivative of p(x). a) Find the matrix of T with respect to the standard basis B={1,x,x^2} for P2. T(1) = (x+1) * 0 - 1 = -1 = -1 + 0x + 0x^2 T(x) = (x+1) * 1 - x = 1 = 1 + 0x + 0x^2 T(x^2) = (x+1) * 2x - x^2 = 2x + x^2 = 0 + 2x + x^2 So, the...

Both methods make sense to me, cheers for the help guys!

Re: Subspace Does this correctly answer the question?Test if subsets are closed under multiplication.a*($$ \frac{x^2}{2} +bx+c$$)d^2/dx^2(a*($$ \frac{x^2}{2} +bx+c$$) = aTherefore since a*p(x) does not equal p''(x) not closed. Hence not a subspace. a*($$ ax+c$$) d^2/dx^2(a*($$ ax+c$$)) = 0...

Re: Subspace I'm not trying to leech here, I'm just legitimately confused. So I'm thinking of testing if its closed under multiplication first.Am i correct in saying (assume a=alpha) a* $$p(x)= \frac{x^2}{2} +bx+c$$ does not equal a*p''(x) ? How do i correctly show this proof?