Lessons & Resources On Matrices

Matrix Introduction

Matrices (singular: matrix, plural: matrices) have many uses in real life. One application would be to use matrices to represent a large amount of data in a concise manner so that we can process the data in various ways more conveniently.

For example, the sales of different types of pre-packed food from 3 stalls during a given period of time could be shown in the form of a table here:

	Stall A	Stall B	Stall C
Packs of noodles sold	36	21	43
Packs of rice sold	27	56	35

This table can be represented as a matrix:

This matrix could then be added with another that represents the sales for a different period of time to get the total for the two periods of time, etc.

Introductory Lessons Focusing Mostly On 2×2 Matrices

• Introduction to Matrices

  Describing Matrices
  Equal Matrices
  Types of Matrices

• Matrix Operations

  Matrix Addition & Subtraction
  Scalar Multiplication
  Matrix Multiplication
  Identity Matrix
  Determinant of a Matrix
  Inverse of a Matrix
  Singular Matrix

• Applications of Matrices

  Solving a System of Equations
  Representing Information

More Lessons On Matrices

(include introductory as well as more advanced materials.)

• Add & Subtract Matrices

  Introduction to Matrices
  Matrix Addition & Subtraction I
  Matrix Addition & Subtraction II

• Multiply Matrices

  Matrix Scalar Multiplication
  Matrix Multiplication I
  Matrix Multiplication II
  Matrix Multiplication III

• Determinant of a Matrix

  Identity Matrix 
  Determinant of a 2×2 Matrix
  Determinant of a 3×3 Matrix I
  Determinant of a 3×3 Matrix II
  Simplifying the Determinant

• Inverse of a Matrix

  Inverse of a 2×2 Matrix
  Inverse of a 3×3 Matrix
  Singular Matrix(a matrix with no inverse)

• Solve Systems of Equation using Matrix Inverse

  Solving a 2×2 System of Equations Using a Matrix Inverse I
  Solving a 2×2 System of Equations Using a Matrix Inverse II
  Solving a 3×3 System of Equations Using a Matrix Inverse

• Solve Systems of Equation using Row Transformations

  Using Gauss-Jordan Method to Solve a System of Three Linear Equations
  
  Row Reducing a Matrix to solve a System of Equations
  
  Solving a System of Equations using Matrix Row Transformations

• Solve Systems of Equation using Cramer's Rule

  Cramer’s Rule

• Find Area using Determinants

  Using Determinant to find the Area of a Parallelogram
  
  Using Determinant to find the Area of a Triangle and a Polygon

Matrices Calculator with step-by-step solutions
Introduction to Matrices, Complex Numbers,
Matrices, Systems of Linear Equations,

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