0
votes
2answers
30 views

Partitioning techniques for finding large matrix determinents

I'm in a linear algebra class and we're doing determinants right now. I got this matrix to do: $\begin{matrix} 2 & 1 & 0 & 0 & 0 \\ 3 & -1 & 2 & 0 & 0 \\ 0 & 4 ...
1
vote
0answers
120 views

Number of solutions (excluding permutations of variables' values) and solving in distinct positive integers the following system of equations

Questions and important info in italics, very important ones in bold. Here we have the system; $V_{1}+V_{2}\cdots+V_{k}=A$ and $V_{1}^{2}+V_{2}^{2}+\cdots +V_{k}^{2}=B$ where $V_{1}$, $V_{2}$, etc. ...
2
votes
0answers
29 views

order of elements in a partition using Maple

I determined this whole partition but I just want to have the finer the partition for example: I have this ...
1
vote
1answer
163 views

Number of perturbations of the Jordan form

I am looking for information about the number of Jordan forms that can be obtained from a given Jordan form of a small perturbation. For example, if a Jordan form consists of a single cell $2 \times ...
0
votes
3answers
349 views

Partition an integer $n$ by limitation on size of the partition

According to my previous question, is there any idea about how I can count those decompositions with exactly $i$ members? for example there are $\lfloor \frac{n}{2} \rfloor$ for decompositions of $n$ ...