ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Tue, 28 Mar 2023 19:51:53 +0200How can i get n linearly independent vector ?https://ask.sagemath.org/question/67131/how-can-i-get-n-linearly-independent-vector/how can i get (n) linearly independent vector for a given space ?
for example ;
v=VectorSpace(GF(11),8)
can i get 6 "RANDOM" linearly independent vector ?aliosman9522Tue, 28 Mar 2023 19:51:53 +0200https://ask.sagemath.org/question/67131/Linear Independence in Quotients of Polynomial Ringshttps://ask.sagemath.org/question/65386/linear-independence-in-quotients-of-polynomial-rings/Consider the following:
K = GF(2) # can be an arbitrary field
R.<a,b> = PolynomialRing(K)
I = R.ideal(a^2-1,a*b)
Q = R.quo(I)
Now $1,a,b$ are linearly dependent in `Q` because $b=0$ (in `Q`).
Is there an elegant way to check this with Sage, especially when the ideals get more complicated? That is: Is there a method to check whether $1,a_1,\dots,a_n$ are linearly (in)dependent in a given quotient $K[a_1,\dots,a_n]/I$?ThrashSat, 17 Dec 2022 18:14:06 +0100https://ask.sagemath.org/question/65386/How to show that two given functions are linearly dependenthttps://ask.sagemath.org/question/56390/how-to-show-that-two-given-functions-are-linearly-dependent/ Is there a way with sage to show if two given functions are linearly dependent?
Like if I have
f(x) = 17, g(x) = cos^2(x), h(x) = cos(2x)
Then sage could either give me the constants that would show they are linearly dependent, or say they aren'tPresto.creatorFri, 26 Mar 2021 17:36:04 +0100https://ask.sagemath.org/question/56390/list of graphs whowe independence number <= 2https://ask.sagemath.org/question/41301/list-of-graphs-whowe-independence-number-2/Goal is to filter graphs by independence number
jean_guillaumeWed, 28 Feb 2018 05:50:29 +0100https://ask.sagemath.org/question/41301/sort graph by independence numberhttps://ask.sagemath.org/question/41300/sort-graph-by-independence-number/ If I want to filter graphs by independence number
jean_guillaumeWed, 28 Feb 2018 05:47:57 +0100https://ask.sagemath.org/question/41300/