Lectures related to Complex Numbers and 2x2 Matrices

Complex Numbers: Operations and Applications

Covers the properties and operations of complex numbers and their applications.

Definition of Complex Numbers Field

Introduces complex numbers and defines their field, emphasizing properties and operations.

Complex Numbers: Operations and Representations

Explores complex numbers, their operations, and representations in Cartesian and polar forms.

Complex Numbers: Properties and Operations

Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.

Elementary Properties of Complex Numbers

Covers the elementary properties of complex numbers through examples and discusses the regions of the complex plane.

Elementary Properties of Complex Numbers

Covers the elementary properties of complex numbers and how to find real and imaginary parts.

Linear Algebra in 3D: Matrices and Determinants

Covers linear algebra in three dimensions, focusing on matrices and determinants.

Complex Roots: Conjugate Pairs and Quadratic Equations

Explores complex roots, conjugate pairs, and quadratic equations solving strategies.

Complex Numbers: Cartesian Representation

Covers the Cartesian representation of complex numbers and basic operations involving them.

Linear Algebra: Matrices and Operations

Covers the basics of linear algebra, focusing on matrices and operations.

Complex Numbers: Operations and Properties

Covers the representation and properties of complex numbers, including real and imaginary parts and geometric applications.

Complex Numbers: Argument and Polar Method

Introduces the argument of complex numbers and the polar method, demonstrating their application in finding roots.

Inverse Element for Multiplication

Covers the inverse element for multiplication and introduces the Euler and Moivre formulas in complex numbers.

Linear Combinations and Vector Spaces

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Complex Numbers: Polar Form

Covers the polar form of complex numbers and its applications in mathematical calculations.

Element Inverse for Multiplication

Covers the concept of element inverse for multiplication in complex numbers.

Complex Numbers: Operations and Properties

Explores complex numbers, including modulus, conjugation, and Euler formula.

Polynomials with Real Coefficients

Explores polynomials with real coefficients, complex roots, and sequences' properties.

Complex Numbers: Introduction and Operations

Introduces complex numbers and their forms, including Cartesian, polar, and exponential forms, and explains how to find the argument of a complex number.

Element-Wise Operations

Covers element-wise operations in MATLAB and Octave using matrices and vectors.