Timeline for "Probability" for a partitioned matrix to be singular
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Apr 28, 2020 at 21:51 | comment | added | Vít Tuček | My understanding of your question is that you have a set of $2^{n+1}$ diagonal matrices with zeros and ones on the diagonal and you ask how many there are such that $\det(M(\Delta_1, \Delta_2)) = 0$ identicaly as a polynomial in $A$ and $B$ entries. I am suggesting you calculate first few of these numbers and then look for this sequence on oeis.org If you find something, great -- it can suggest possible way of attacking the problem. If you don't find anything, well... it seems that the sequence is new and hence we don't get any clues for free. | |
| Apr 28, 2020 at 21:45 | comment | added | Ludwig | @VítTuček: No, I did not. Could you please elaborate a little more on this? | |
| Apr 28, 2020 at 21:35 | comment | added | Vít Tuček | For each $n$ the answer is rational number with power of two in the denominator. Did you try to search for the sequence of numerators in OEIS? | |
| Apr 28, 2020 at 21:05 | history | asked | Ludwig | CC BY-SA 4.0 |