linearly independent set
lineaarselt sõltumatu hulk
olemus
vektorite hulk \(S\) mingis vektorruumis,
mille igas lõplikus alamhulgas \(\{v_1, \ldots, v_n\}\) kehtivast seosest \(k_1 v_1 + \ldots + k_n v_n = \Theta \)
järeldub \(k_1 = \ldots = k_n = 0\) ,
kus
\(k_1, \ldots, k_n\) on vektorruumi skalaarid ja
\(\Theta\) on nullvektor
ülevaateid
https://en.wikipedia.org/wiki/Linear_independence
https://www2.math.upenn.edu/~moose/240S2013/slides7-18.pdf
http://www2.math.uconn.edu/~troby/Math2210F09/LT/sec1_7.pdf
http://ksuweb.kennesaw.edu/~sellerme/sfehtml/classes/math3260/m3260sp03sec43notes.pdf
https://mathcourses.nfshost.com/archived-courses/mat-335-2017-summer/lectures/mat-335-sec-4-3.pdf
vt ka
- algebraliselt sõltumatu hulk