Apalli tukuytukshi (yupay yachay)

Apalli tukuytukshi V huk qurqam, kaqninkunapa shutin apaq, astawan ishkay ruranakuna shutiyuq yapay, miray sutaq-wan. Chunka qallirana kayninkuna.

Qillqasha
x, y V-chu kaptin, α sutaq kaptin, yapayta qillqay x + y, x-pa miraynin α sutaqwan αx.  Grossman, Stanley I. (University of Montana) Elementary Linear Algebra ISBN 0-03-031193-4 

Kayninkuna
 x ɛ V, y ɛ V, yarqun x + y' ɛ V (  Yapay-pa wichqanan)
 x, y, z lluta V kaqninkuna kaptin, allim (x + y) +z = x + (y + z); ( Quriq kaynin apalli yapaypa)
 Kan huk apaq 0 V-chu, paywanqa mayqan V-pa x-ninwan: x+ 0 = 0 + x; ( 0-ta niyan tsunya apaq ,  yupaylla kikillan)
 x V-chu kaptin, kan huk apap -x, tsaypunqa x + -x = 0 ( -x-pa shutin yapaylla tikraylla-n x-pa, inverso aditivo )
 x, y  V-chu kayaptin, kanqa x+y = y + x ( Tikratsiq kaynin apalli yapaypa)
 x V-chu kaptin, astawan α huk sutaq kaptin, kanqa αx V-chu; ( sutaqwan miraypa wichqanan)
 x, y kayan V-chu, astawan α huk sutaq kaptin, kanqa α(x + y) = αx +  αy, (  ñawpa aypuna kaqnin).
 x V-chu kaptin; α, β sutaqkuna kapayatin, kanqa (α + β)x  = αx + βx, (  ishkaykaq aypuna kaynin)
 x V-chu kaptin; α, β sutaqkuna kapayatin, kanqa α(βx)  = (αβ)x. ( Sutaqwan miray-pa quriq kaynin)
 Llapan x apaq V-chu kaptin, 1x = x ( Sutaq 1-ta niyan miraylla kikillan)
Tikrasha
Apalli tukuytukshi, espacio vectorial; apaq, vector; sutaq, escalar; qurqa, conjunto; rurana, operación; kaynin, elemento; apalli, vectorial;   tukuytukshi  espacio, ; kaynin, propiedad.

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