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KonradZuseBest ResponseYou've already chosen the best response.0
My book says that the null space is the solution space of Ax = b when b = 0. The example in the book shows this...
 one year ago

KonradZuseBest ResponseYou've already chosen the best response.0
@TuringTest @asnaseer @CliffSedge
 one year ago

KonradZuseBest ResponseYou've already chosen the best response.0
Do I just solve it and that's all...?
 one year ago

KonradZuseBest ResponseYou've already chosen the best response.0
I'm also a bit confused how they got the column matrix's filled out... Maybe that's my issue...
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
pretty much, yeah just solve it and rewrite each variable as a new vector, i.e. one for r, one for s, and one for t
 one year ago

KonradZuseBest ResponseYou've already chosen the best response.0
hmm okay maybe this is easier than I'm thinking let me try it. My example is A = (Matrix(3, 4, {(1, 1) = 1, (1, 2) = 4, (1, 3) = 5, (1, 4) = 2, (2, 1) = 2, (2, 2) = 1, (2, 3) = 3, (2, 4) = 0, (3, 1) = 1, (3, 2) = 3, (3, 3) = 2, (3, 4) = 2})); print(`output redirected...`); # input placeholder
 one year ago

KonradZuseBest ResponseYou've already chosen the best response.0
1 4 5 2 2 1 3 0 1 3 2 2
 one year ago

KonradZuseBest ResponseYou've already chosen the best response.0
now do I have to augment it with the 0 columnvector?
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
go ahead and row reduce it as much as you can brb, gotta go to get dinner
 one year ago

KonradZuseBest ResponseYou've already chosen the best response.0
the book does 2 eq's which is really annoying....
 one year ago

KonradZuseBest ResponseYou've already chosen the best response.0
how they would both be the same, so it seems like it's not an augmented matrix....
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
row reduce, what do you get?
 one year ago

KonradZuseBest ResponseYou've already chosen the best response.0
OOOOOOOOOOOOOOOo There's a Null Space/Nullity thing on Maple hehehe. I guess it isn't augmented then :D
 one year ago

KonradZuseBest ResponseYou've already chosen the best response.0
1 0 1 2/7 0 1 1 4/7 0 0 0 0
 one year ago

KonradZuseBest ResponseYou've already chosen the best response.0
now I actually found something that says the num space is the subspace of vectors x satisfying A. x = 0
 one year ago

KonradZuseBest ResponseYou've already chosen the best response.0
it shows the null space as 2/7 4/7 0 1 then another column matrix next to it. 1 1 1 0..
 one year ago

KonradZuseBest ResponseYou've already chosen the best response.0
Is there a matrix thing in the equations..... This is stupid writing it out like this :P.
 one year ago

KonradZuseBest ResponseYou've already chosen the best response.0
oh I found it.... :)
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
setting up matrices with latex is a pain, you are doing it the easy way
 one year ago

KonradZuseBest ResponseYou've already chosen the best response.0
\[\left(\begin{matrix}2/7 \\4/7\\ 0\\ 1\end{matrix}\right), \left(\begin{matrix}1 \\1\\ 1\\ 0\end{matrix}\right)\]
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
yes, you get that from 1 0 1 2/7 x1+r2/7s=0>x1=r+2/7s 0 1 1 4/7 x2+r+4/7s=0>x2=r4/7s collect the r's in one vector and the s's in another
 one year ago

KonradZuseBest ResponseYou've already chosen the best response.0
my eyes they burn.... :)
 one year ago

KonradZuseBest ResponseYou've already chosen the best response.0
you're so smart TT :Pe
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
first row of your matrix reduced: 1 0 1 2/7 this is the same as the equation x1+r2/7s=0 which leads to x1=r+2/7s and thanks, but I need to get better at computer stuff now, so maybe I'll need your help sorry, back in 15
 one year ago
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