12:04 AM - 6LACK Tripbwai (1): im gay

ping=power level

seeds

its true tho

wait a second once you get XA(A + I) = A + I isnt that just the solution

doesnt matter if A+I is invertible or not, you know XA=I because I is the only matrix that would solve IC=C for C=(A+I) unless C=0

so since XA=I you can multiply both sides by A^-1 and get X=A^-1

i made this way too complicated in my last post rofl

of course theres still a case where A+I=0 where X can equal any matrix it wants

edit im retarded

ok after thinking some more. if A is invertible, then it is row equivalent to I. you would think adding two row equivalent matrices would be row equivalent so A would be row equivalent to (A+I), but theres actually an exception here...when A has a row which is equal to the same row in -I, then adding that to I will mean that to get to (A+I) from A, you must perform the row operation of adding the negative of a row to itself, which is the same as multiplying by 0. this isnt a valid row operation so they aren't row equivalent. however this is the only exception.

so this means that either (A+I) is invertible, or it has at least one row of all 0's.

plugging this back into the equation XA(A + I) = A + I doesn't really help though. if all of the rows are 0 (A=-I), then it obviously solves for all X, but if only some rows are 0, I can't think of anything that would mean, especially since A+I is on the right side of the multiplication. if it was on the left side then that would mean an entire row of the product would also be 0 which would be equal to A+I, but on the right side that doesnt seem to necessarily be the case. you can use distributive property on other side to prove (A+I)A has the same zero rows, but you’re still left multiplying that by X so it doesnt help.

pogchamp

bad idea you would take twice as much damage from rocket jumping as falling down from a ledge or something

http://logs.tf/1959620

greatest match of LAN dominates the single map records

please remove the kicking for inactivity, theres no point since there isnt a sub system, and it kicks people during pauses

scooby doo night of 100 frights is the best 3d platformer of all time

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until you bring up overwatch, her hatred for it is stronger than the fires of hell...

im fucked up too ive never really gotten sick before in my life either

upload your lan pics pls!

broking on gullywash