# Omega

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 Apr2 accepted Can all equation systems be reduced to the identity matrix? Apr2 comment Can all equation systems be reduced to the identity matrix? What implications are there for being unable to reduce it to the identity? (like, the system has no solutions?) Apr2 asked Can all equation systems be reduced to the identity matrix? Apr1 accepted Recurrence relation to calculate the number of strings of $n$ characters that don't have consecutive vowels. Apr1 asked Recurrence relation to calculate the number of strings of $n$ characters that don't have consecutive vowels. Mar27 comment How to get the characteristic equation from a recurrence relation of this form? @David: Thanks, I didn't know that's how it's called haha. I will take a look at them. Mar27 asked How to get the characteristic equation from a recurrence relation of this form? Mar24 awarded Popular Question Mar19 awarded Notable Question Mar8 awarded Popular Question Mar4 awarded Notable Question Jan28 awarded Popular Question Jan17 awarded Famous Question Jan13 awarded Yearling Dec5 comment Advice for proving with induction scenarios with multiple chances for using the hypothesis. Thanks. Yeah, I know I asked for this scenario - this was out of curiosity. Dec5 comment Advice for proving with induction scenarios with multiple chances for using the hypothesis. Hm, I'm not very familiar with that, but it sounds interesting - could you elaborate a bit more? Dec5 comment Advice for proving with induction scenarios with multiple chances for using the hypothesis. If you were in my situation, looking at these four options, you'd also pick one by one? Well, I guess that's a relief, kinda lol. Dec5 comment Advice for proving with induction scenarios with multiple chances for using the hypothesis. @HagenvonEitzen: Yes, to choose which of the four terms to replace as my next step. Dec5 asked Advice for proving with induction scenarios with multiple chances for using the hypothesis. Dec5 accepted Finding the explicit formula for the succession $x_0=2, x_{n+1} = 5x_n$ and proving it with induction