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Complex Number Introduction

Complex Number Introduction

Problem 1: Complex Number Introduction

Problem 1: Complex Number Introduction

Definition of Complex Number

Definition of Complex Number

Problem 1: Definition of Complex Number

Problem 1: Definition of Complex Number

Problem 1: Definition of Complex Number

Problem 1: Definition of Complex Number

Conjugate of Complex Number

Conjugate of Complex Number

Problem 1: Conjugate of Complex Number

Problem 1: Conjugate of Complex Number

Equality of Complex Number

Equality of Complex Number

Problem 1: Equality of Complex Number

Problem 1: Equality of Complex Number

Properties of Complex Number

Properties of Complex Number

Problem 1: Properties of Complex Number

Problem 1: Properties of Complex Number

Reflexive & Symmetric Law of Complex Number

Reflexive & Symmetric Law of Complex Number

Problem 1: Reflexive & Symmetric Law of Complex Number

Problem 1: Reflexive & Symmetric Law of Complex Number

Transitive Law of Complex Number

Transitive Law of Complex Number

Problem 1: Transitive Law of Complex Number

Problem 1: Transitive Law of Complex Number

Addition of Complex Number

Addition of Complex Number

Problem 1: Addition of Complex Number

Problem 1: Addition of Complex Number

Multiplication of Complex with Scalar Numbers

Multiplication of Complex with Scalar Numbers

Problem 1: Multiplication of Complex with Scalar Numbers

Problem 1: Multiplication of Complex with Scalar Numbers

Multiplication of Complex Numbers

Multiplication of Complex Numbers

Problem 1: Multiplication of Complex Numbers

Problem 1: Multiplication of Complex Numbers

Subtraction of Complex Numbers

Subtraction of Complex Numbers

Problem 1: Subtraction of Complex Numbers

Problem 1: Subtraction of Complex Numbers

Division of Complex Numbers

Division of Complex Numbers

Problem 1: Division of Complex Numbers

Problem 1: Division of Complex Numbers

Division Property of Complex Numbers

Division Property of Complex Numbers

Problem 1: Division Property of Complex Numbers

Problem 1: Division Property of Complex Numbers

Problem-Complex Number Introduction

Problem-Complex Number Introduction

Problem-Definition of Complex Number

Problem-Definition of Complex Number

Complex Numbers as Ordered Pairs of Real Numbers

Complex Numbers as Ordered Pairs of Real Numbers

Problem 2: Conjugate of Complex Number

Problem 2: Conjugate of Complex Number

Problem-Conjugate of Complex Number

Problem-Conjugate of Complex Number

Problem-Equality of Complex Number

Problem-Equality of Complex Number

Problem-Properties of Complex Number

Problem-Properties of Complex Number

Problem-Reflexive & Symmetric Law of Complex Number

Problem-Reflexive & Symmetric Law of Complex Number

Problem-Transitive Law of Complex Number

Problem-Transitive Law of Complex Number

Problem-Addition of Complex Number

Problem-Addition of Complex Number

Problem-Scalar Multiplication of Complex Numbers

Problem-Scalar Multiplication of Complex Numbers

Problem-Multiplication of Complex Numbers

Problem-Multiplication of Complex Numbers

Problem-Subtraction of Complex Numbers

Problem-Subtraction of Complex Numbers

Problem-Division of Complex Numbers

Problem-Division of Complex Numbers

Problem-Division Property of Complex Numbers

Problem-Division Property of Complex Numbers

Argand Diagram

Problem-Argand Diagram

Problem-Argand Diagram

The Order Relations

The Order Relations

Problem-The Order Relations

Problem-The Order Relations

Modulus of Complex Number

Modulus of Complex Number

Problem-Modulus of Complex Number

Problem-Modulus of Complex Number

Theorems on Complex Number

Theorems on Complex Number

More on Theorems on Complex Numbers

More on Theorems on Complex Numbers

Problem-Theorems on Complex Number

Problem-Theorems on Complex Number

Vector Interpretation of Complex Numbers

Vector Interpretation of Complex Numbers

Problem-Vector Interpretation of Complex Numbers

Problem-Vector Interpretation of Complex Numbers

The Triangle Inequality

The Triangle Inequality

Problem-The Triangle Inequality

Problem-The Triangle Inequality

Polar Form of a Complex Number

Polar Form of a Complex Number

Problem-Polar Form of a Complex Number

Problem-Polar Form of a Complex Number

Problem2-Polar Form of a Complex Number

Problem2-Polar Form of a Complex Number

Properties of the Arguments

Properties of the Arguments

Problem-Properties of the Arguments

Problem-Properties of the Arguments

Formula for Finding the Principal Argument

Formula for Finding the Principal Argument

Problem-Formula for Finding the Principal Argument

Problem-Formula for Finding the Principal Argument

Real and Imaginary parts of Expression of Power n

Real and Imaginary parts of Expression of Power n

Problem-Real and Imaginary parts of Expression of Power n

Problem-Real and Imaginary parts of Expression of Power n

Commutative Property of Complex Numbers

Commutative Property of Complex Numbers

Problem-Commutative Property of Complex Numbers

Problem-Commutative Property of Complex Numbers

Associative Property of Complex Numbers

Associative Property of Complex Numbers

Problem-Associative Property of Complex Numbers

Problem-Associative Property of Complex Numbers

The Distributive Property of Complex Numbers

The Distributive Property of Complex Numbers

Problem-The Distributive Property of Complex Numbers

Problem-The Distributive Property of Complex Numbers

Additive Identity and Multiplicative Identity of Complex Numbers

Additive Identity and Multiplicative Identity of Complex Numbers

Problem-Additive Identity and Multiplicative Identity of Complex Numbers

Problem-Additive Identity and Multiplicative Identity of Complex Numbers

Additive Inverse and Multiplicative Inverse of Complex Numbers

Additive Inverse and Multiplicative Inverse of Complex Numbers

Problem-Additive Inverse and Multiplicative Inverse of Complex Numbers

Problem-Additive Inverse and Multiplicative Inverse of Complex Numbers

Solution of Simultaneous Linear Equations with Complex Co-efficients

Solution of Simultaneous Linear Equations with Complex Co-efficients

Problem-Solution of Simultaneous Linear Equations with Complex Co-efficients

Problem-Solution of Simultaneous Linear Equations with Complex Co-efficients

Expression of the Polynomial P ( z ) as a Product of Linear Factors

Expression of the Polynomial P ( z ) as a Product of Linear Factors

Problem-Expression of the Polynomial P ( z ) as a Product of Linear Factors

Problem-Expression of the Polynomial P ( z ) as a Product of Linear Factors

Quadratic Equation of Complex Variables

Quadratic Equation of Complex Variables

Problem-Quadratic Equation of Complex Variables

Problem-Quadratic Equation of Complex Variables

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