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Results tagged with linear-algebra
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user 3206
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
3
votes
How many 0, 1 solutions would this system of underdetermined linear equations have?
It may be obvious to the casual observer, but it only just hit me recently that Hamiltonian cycle can be reduced to this problem, so of course the decision and counting problems are hard. I do not kn …
- 3,209
2
votes
Some weird "system" of inequalities in nonnegative integers.
I see this as more of a set selection problem or a combinatorial design problem than a number theory problem, unless there is something else about the $a_{ijkl}$ that is not being mentioned.
By setti …
- 3,209
3
votes
Fast evaluation of polynomials
The cheapest way of finding the value of a polynomial, given unlimited preprocessing resources, is to look up the precalculated value in the table. However, if you know you are going to need several …
- 3,209
4
votes
Accepted
Number of unique determinants for an NxN (0,1)-matrix
I have given some detail in a comment to another answer. I have a proof that the number of determinants is greater than 4 times the nth Fibonacci number for (n+1)x(n+1) (0,1) matrices, and I conjectu …
- 3,209