Recent content by ysebastien

  1. Y

    Finding an invertible matrix P such that A=PJP^-1

    Great, thanks.
  2. Y

    Finding an invertible matrix P such that A=PJP^-1

    Homework Statement A=\left[\begin{array}{cccc} 5 & 4 & 2 & 1\\ 0 & 1 & -1 & -1\\ -1 & -1 & 3 & 0\\ 1 & 1 & -1 & 2 \end{array}\right] Find the Jordan form of A Find a matrix P such that A = PJP-1 Homework Equations The Attempt at a Solution I've already found, and...
  3. Y

    Determining whether two functions are linear independent via wronskian

    Ah, I see. Thank you
  4. Y

    Determining whether two functions are linear independent via wronskian

    Yes, I use that fact, but I still find that for x<0 : W(x)=8(-x)^{2}|-x|-8(-x)^{3}=8x^{3}+8x^{3}=16x^{3} Am I just completely missing something here?
  5. Y

    Determining whether two functions are linear independent via wronskian

    Homework Statement Determine which of the following pairs of functions are linearly independent. (a) f(t)=3t,g(t)=|t| (b) f(x)=x^{2},g(x)=4|x|^{2} Homework Equations the Wronskian is defined as, W=Det{{f(u),g(u)},{f'(u),g'(u)}} if {f(u),g(u)} are linearly dependent, W=0...
  6. Y

    Evaluate the integral over the helicoid [Surface integrals]

    Homework Statement Evaluate the integral \int\int_S \sqrt{1+x^{2}+y^{2}}dS where S:{ r(u,v) = (ucos(v),usin(v),v) | 0\leq u\leq 4,0\leq v\leq 4\pi } 2. The attempt at a solution Here is my attempt, I am fairly sure I am right, but it is an online assignment and it keeps telling me I am...
Back
Top