Recent content by Mihulik

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:

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.:-/

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...

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

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

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.:)

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

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...