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Numere complexe

Proiect (test de 10 intrebari)

Ce numim numere complexe? Se numesc ”numere complexe” elementele mulțimii C=RxR, pentru care operațiile de adunare și înmulțire sânt definite astfel: (x,y)+(u,v)=(x+u, y+v), (x,y)*(u,v)=(xu-yv, xv+yu).
Ce numim ”elementul neutru al înmulțirii”? (x,y)*(1,0)=(x,y), unde ((1,0) și reprezintă elementul neutru al înmulțirii.
Cum notăm numărul complex (imaginar)? i
Când numerele complexe a+bi, c+di, scrise sub formă algebrică sânt egale? Numerele complexe a+bi, c+di, scrise sub formă algebrică sânt egale dacă și numai dacă sânt egale părțile reale și respectiv părțile imaginare ale acestora.
În expresia z=a+bi; care este partea reală și care este partea imaginară? a - partea reală (Re z) bi - partea imaginară (Im z)
Care este valoarea lui i? √(-1)
Ce numim comutativitatea înmulțirii? z1*z2=z2*z1
Cu cât va fi egal i^2019 ? 1
Calculați: (-4+3i)-(-1+5i) -3-2i
Calculați: (2+3i)+(4-3i) 6
Created by: matemate11GM
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