Complex Numbers and 2x2 Matrices

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Related lectures (30)

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Square Roots and Complex Numbers

Explores square roots in quadratic equations, complex numbers, Fermat prime numbers, and the Gauss-Wantzel theorem.

Complex Numbers: Polar Form and Multiplication

Covers the polar form of complex numbers and its advantages in multiplication.

Sequences: Definitions and Examples

Covers solving equations over complex numbers, sequences, induction, and properties of complex numbers.

Linear Equations and Matrices: Solution Methods, Elementary Operations

Explores solution methods and elementary operations for linear equations and matrices, demonstrating techniques to simplify systems and obtain solutions.

Polynomials: Operations and Properties

Explores polynomial operations, properties, and subspaces in vector spaces.

Complex Numbers: Introduction and Properties

Introduces complex numbers to solve unsolvable equations, exploring their properties and relationship with real numbers.

Vector Spaces: Properties and Operations

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Complex Roots and Polynomials

Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.

Block Decomposition

Covers the concept of block decomposition in linear algebra, illustrating how matrices can be divided and manipulated using block structures.

Linear Algebra: Matrices and Operations

Introduces key concepts in linear algebra, including matrices, operations, and numerical invariants.