Flashcards: Fundamentals of Linear Algebra and Complex Numbers — 10 cartões

Todos os cartões

1Pergunta

Binary operation properties

Resposta

Associativity, commutativity, identity, inverse.

2Pergunta

Complex Number — parts?

Resposta

Real and imaginary parts.

3Pergunta

Relation types

Resposta

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

4Pergunta

Modulus — definition?

Resposta

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

5Pergunta

Complex number parts

Resposta

Real part, imaginary part, modulus, argument.

6Pergunta

Argument — role?

Resposta

Angle with positive real axis.

7Pergunta

Polar form — purpose?

Resposta

Simplifies multiplication, division.

8Pergunta

De Moivre's theorem — use?

Resposta

Raising to powers, extracting roots.

9Pergunta

Binary operation — property?

Resposta

Combines two elements within a set.

10Pergunta

Associativity — meaning?

Resposta

Order of grouping doesn't matter.

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1. What does the real part of a complex number represent?

2. What is the real part of the complex number z = 3 - 4i?

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