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.

Kayninkuna

1. x ɛ V, y ɛ V, yarqun x + y' ɛ V ( Yapay-pa wichqanan)
2. x, y, z lluta V kaqninkuna kaptin, allim (x + y) +z = x + (y + z); ( Quriq kaynin apalli yapaypa)
3. Kan huk apaq 0 V-chu, paywanqa mayqan V-pa x-ninwan: x+ 0 = 0 + x; ( 0-ta niyan tsunya apaq , yupaylla kikillan)
4. x V-chu kaptin, kan huk apap -x, tsaypunqa x + -x = 0 ( -x-pa shutin yapaylla tikraylla-n x-pa, inverso aditivo )
5. x, y V-chu kayaptin, kanqa x+y = y + x ( Tikratsiq kaynin apalli yapaypa)
6. x V-chu kaptin, astawan α huk sutaq kaptin, kanqa αx V-chu; ( sutaqwan miraypa wichqanan)
7. x, y kayan V-chu, astawan α huk sutaq kaptin, kanqa α(x + y) = αx + αy, ( ñawpa aypuna kaqnin).
8. x V-chu kaptin; α, β sutaqkuna kapayatin, kanqa (α + β)x = αx + βx, ( ishkaykaq aypuna kaynin)
9. x V-chu kaptin; α, β sutaqkuna kapayatin, kanqa α(βx) = (αβ)x. ( Sutaqwan miray-pa quriq kaynin)
10. 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.