# An Introduction to Matrices

**Author:**Johan Claeys

**Content URL:**Link To Content

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About *An Introduction to Matrices:*

Contents:

# Definitions

* Matrix

* Square matrix

* Diagonal matrix

* Row matrix

* Column matrix

* Matrices of the same kind

* The tranpose of a matrix

* 0-matrix

* An identity matrix I

* A scalar matrix S

* The opposite matrix of a matrix

* A symmetric matrix

* A skew-symmetric matrix

# The sum of matrices of the same kind

* Sum of matrices

* Sum properties

# Scalar multiplication

* Definition

* Properties

# Sums in math

# Multiplication of a row matrix by a column matrix

# Multiplication of two matrices A.B

# Properties of multiplication of matrices

* Associativity

* Distributivity

* Theorem 1

* Theorem 2

* Theorem 3

* Theorem 4

* Theorem 5

# Definitions

* Matrix

* Square matrix

* Diagonal matrix

* Row matrix

* Column matrix

* Matrices of the same kind

* The tranpose of a matrix

* 0-matrix

* An identity matrix I

* A scalar matrix S

* The opposite matrix of a matrix

* A symmetric matrix

* A skew-symmetric matrix

# The sum of matrices of the same kind

* Sum of matrices

* Sum properties

# Scalar multiplication

* Definition

* Properties

# Sums in math

# Multiplication of a row matrix by a column matrix

# Multiplication of two matrices A.B

# Properties of multiplication of matrices

* Associativity

* Distributivity

* Theorem 1

* Theorem 2

* Theorem 3

* Theorem 4

* Theorem 5