Flashcard: Fundamentals of Linear Algebra and Complex Numbers — 10 carte

Binary operation properties

Associativity, commutativity, identity, inverse.

Complex Number — parts?

Real and imaginary parts.

Relation types

Reflexive, symmetric, transitive; image as function's range.

Modulus — definition?

Distance from origin, $|z| = oot2 rom a^2 + b^2$.

Complex number parts

Real part, imaginary part, modulus, argument.

Argument — role?

Angle with positive real axis.

Polar form — purpose?

Simplifies multiplication, division.

De Moivre's theorem — use?

Raising to powers, extracting roots.

Binary operation — property?

Combines two elements within a set.

Associativity — meaning?

Order of grouping doesn't matter.