This version might be better http://www.math.harvard.edu/archive/21b_fall_03/handouts/goodwill.pdf
That oblong three is not an extra step, it's a representation of a possibility of directions.. there's three ways taking a path that gets you back to the starting point with 3 steps basically. That part shouldn't be THAT confusing once you understand the graph.
The A Matrix is possible outcomes. The 0's are where you don't make it back in 0-3 steps depending on steps taken.. now... the hard part is writing that out... which... just... go with the better link.
I don't know all the functions on how to even type it out. I still go H2CO3... no underscores etc. For class I'd just write it down and fucking scan it if they wanted it digitally.
edit: subscripts and such... subscripts was my example for -----------^; that.
Thank god I never had to use MyMathLabPlus for some shit like that. That'd be impossible... just typing it all out would lead to the fucking session expiring.
Man, I used to be so good at graph theory and linear algebra and now it just looks intimidating and recondite.
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Your "if and only if" tangent reminds me of a hilarious/nerdy xkcd comic: https://m.xkcd.com/1033/
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:D
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Also, I remember that equation, but not gonna pretend I understood a single thing <.<
That oblong three is not an extra step, it's a representation of a possibility of directions.. there's three ways taking a path that gets you back to the starting point with 3 steps basically. That part shouldn't be THAT confusing once you understand the graph.
The A Matrix is possible outcomes. The 0's are where you don't make it back in 0-3 steps depending on steps taken.. now... the hard part is writing that out... which... just... go with the better link.
edit: subscripts and such... subscripts was my example for -----------^; that.
,
Your "if and only if" tangent reminds me of a hilarious/nerdy xkcd comic: https://m.xkcd.com/1033/
>_ >