Aequatio linearis Bibliographia | Nexus Externi | Tabula navigationisin reteAmplifica

Algebra linearis


mathematicaaequatiofunctiones linearesalgebra lineariscorporeanelluslineamplanodimensionumsuperficium






Aequatio linearis 3x - 2y + 3z = 6


Aequatio linearis, in mathematica, est aequatio cuius membra sunt functiones lineares. Hoc est, aequatio hanc formam habet:


ax+b=0displaystyle ax+b=0

vel


a0x0+a1x1+a2x2+⋯+an=0displaystyle a_0x_0+a_1x_1+a_2x_2+dots +a_n=0

Pars mathematicae quae de talibus aequationibus tractat est algebra linearis.


Aequatio linearis unius variabilis ax+b=0displaystyle ax+b=0, si a, b sunt in corpore quodam K, habet solutio x=−badisplaystyle x=frac -ba in eodem corpore. Re vera etiamsi K est anellus tantum, eadem solutio exstat.


Aequatio linearis duarum variabilium lineam in plano decernit. Aequatio trium variabilium planum in spatio trium dimensionum decernit, et generaliter aequatio linearis N variabilium in spatio N dimensionum superficium N-1 dimensionum decernit.



Bibliographia |


  • Anton, Howard. 1977. Elementary Linear Algebra. Novi Eboraci: John Wiley & Sons.

  • Gowers, Timothy, ed. 2008. The Princeton Companion to Mathematics. Princeton: Princeton University Press. ISBN 978-0-691-11880-2.

  • Heffron, Jim. 2011. Linear Algebra. Liber ab auctore editus, in rete


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