Recent content by Mihulik

  1. M

    Jordan Normal Form: Find Basis B in $\mathbb{Z}_{5}^{3}$

    I've double-checked my attempt at solution but I didn't find any mistakes. Now, I'm really desperate.:confused: I was hopping somebody could tell me what I was doing wrong.:smile:
  2. M

    Jordan Normal Form: Find Basis B in $\mathbb{Z}_{5}^{3}$

    I tried to solve those equations before I asked here but neither of them has a solution over \mathbb Z_{5} That's the reason why I'm so puzzled.:-/
  3. M

    Jordan Normal Form: Find Basis B in $\mathbb{Z}_{5}^{3}$

    Hi Homework Statement Let f:\:\mathbb{Z}_{5}^{3}\rightarrow \mathbb{Z}_{5}^{3} be a linear operator and let [f]_{e_{3}}^{e_{3}}=A=\begin{pmatrix}3 & 1 & 4\\ 3 & 0 & 2\\ 4 & 4 & 3 \end{pmatrix} over \mathbb{Z}_{5}. Find a basis B of \mathbb{Z}_{5}^{3} such that...
  4. M

    Undergrad Unusual usages of linear algebra

    Thanks - that sounds good.:) I'll do my "research" by myself, of course.:)
  5. M

    Undergrad Unusual usages of linear algebra

    So did I... So it's not as unusual as I thought it was:-D
  6. M

    Undergrad Unusual usages of linear algebra

    Yeah, that's a good example but it's not such an unusual example I'd like to find.:) Something like, "I use linear algebra to whiten my teeth and pour my drinks," would be unusual enough.:)
  7. M

    Undergrad Unusual usages of linear algebra

    :-D Let's suppose interesting = not widely known:)
  8. M

    Undergrad Unusual usages of linear algebra

    Hello, I'm preparing a presentation of linear algebra. Among other things, I'd like to present possible usages of linear algebra. Besides the usual usages, I'd like to mention some very unusual ones. I've tried googling but I didn't find anything interesting. Please, do you know some...