Matrices Resource Book

Lew W. S., Nov 28, 2023

A collection of interactive resources for Matrices

Table of Contents

  1. Matrix Notation
    1. Understanding Matrix Notation : Rows and Columns of a Matrix
  2. Basic Operations on Matrices : Addition, Scalar Multiplication and Matrix Multiplication
    1. Matrix Addition and Scalar Multiplication
    2. Matrix Multiplication
    3. Multiplicación de matrices.
    4. Multiplicación de matrices cuadradas de orden 3.
    5. Algebraic Operations on Matrices
    6. Matrices Basic operations
    7. Activity-1
    8. Activity-2
  3. Determinant and Inverse of a Matrix
    1. Activity - Determinants
    2. Determinants Practice
    3. UCSS Math II 3B.5.2 Example 1
    4. UCSS Math II 3B.5.1 Example 3
    5. CCSS Honors 3.1 Example 3
    6. Inverse of a matrix
    7. Determinant of 3×3 Matrices
  4. Links : Past O Level Questions and Other related topics
    1. Link to O Level Matrices problems by Abdul Latiff
    2. Explore Transformation Matrices for Rotation about Origin and Reflection about line through Origin
    3. matrix inverse method

1.

Matrix Notation

  • 1. Understanding Matrix Notation : Rows and Columns of a Matrix

1.1.

Understanding Matrix Notation : Rows and Columns of a Matrix

Rows and Columns of a Matrix
[size=150]What do we mean by the rows and columns of a matrix?[br][br][/size][size=150]In this activity, you can use the slider or the drop down list to change the the number of rows and columns and see what a 2 by 3 matrix or 4 by 5 matrix is.[/size]
– Lew W. S.

2.

Basic Operations on Matrices : Addition, Scalar Multiplication and Matrix Multiplication

  • 1. Matrix Addition and Scalar Multiplication
  • 2. Matrix Multiplication
  • 3. Multiplicación de matrices.
  • 4. Multiplicación de matrices cuadradas de orden 3.
  • 5. Algebraic Operations on Matrices
  • 6. Matrices Basic operations
  • 7. Activity-1
  • 8. Activity-2

2.1.

Matrix Addition and Scalar Multiplication

– Heather Pierce

2.2.

–

2.3.

–

2.4.

–

2.5.

–

2.6.

–

2.7.

–

2.8.

–

3.

Determinant and Inverse of a Matrix

  • 1. Activity - Determinants
  • 2. Determinants Practice
  • 3. UCSS Math II 3B.5.2 Example 1
  • 4. UCSS Math II 3B.5.1 Example 3
  • 5. CCSS Honors 3.1 Example 3
  • 6. Inverse of a matrix
  • 7. Determinant of 3×3 Matrices

3.1.

Activity - Determinants

To every square matrix [math]A=\left[a_{ij}\right][/math] of order [math]n\times n[/math], we can associate a number called the [b]determinant [/b]of the matrix [math]A[/math]
Determinant can be defined only for square matrices.
Determinant of matrix of order 2 by 2.
– K.KUMARAVELU

3.2.

–

3.3.

–

3.4.

–

3.5.

–

3.6.

–

3.7.

–

4.

Links : Past O Level Questions and Other related topics

  • 1. Link to O Level Matrices problems by Abdul Latiff
  • 2. Explore Transformation Matrices for Rotation about Origin and Reflection about line through Origin
  • 3. matrix inverse method

4.1.

Link to O Level Matrices problems by Abdul Latiff

Link to O Level Matrices problems by Abdul Latiff
[size=150][url=https://www.geogebra.org/m/gyt86dqv#chapter/392681]https://www.geogebra.org/m/gyt86dqv#chapter/392681[/url][/size]
– Lew W. S.

4.2.

–

4.3.

–

Information