Matrices

Ben Roth, Apr 30, 2015

This book covers the basics of matrices through solving a system of equation using inverse matrices

Table of Contents

  1. Introduction
  2. Matrix Addition/Subtraction
    1. UCSS Math I 3.3.1 Example 1
  3. Matrix Multiplication
  4. Systems of Equations
    1. UCSS Math I 3.3.2 Example 5
    2. UCSS Math II 3B.5.2 Example 3
  5. Determinants
    1. Calculate Determinant of 2x2 Matrix
    2. Determinantes 3x3
  6. Inverse of a Matrix
    1. UCSS Math II 3B.5.2 Example 1
    2. UCSS Math I 6.3.3 Example 1
    3. UCSS Math II 3B.5.1 Example 3
  7. Solving Matrix Equations

1.

Introduction


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2.

Matrix Addition/Subtraction

  • 1. UCSS Math I 3.3.1 Example 1

2.1.

UCSS Math I 3.3.1 Example 1

Find the sum of the following matrices and determine the dimensions of the sum.

[list=1] [*]Determine whether the matrices can be added. [*]Add each pair of corresponding entries. [*]Determine the dimensions of the sum. [/list] This applet is provided by Walch Education as supplemental material for the [i]UCSS Secondary Math I[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.
– Walch Education

3.

Matrix Multiplication


    This chapter does not contain any resources yet.

4.

Systems of Equations

  • 1. UCSS Math I 3.3.2 Example 5
  • 2. UCSS Math II 3B.5.2 Example 3

4.1.

UCSS Math I 3.3.2 Example 5

Use matrices to solve the following system of equations. [math]\begin{cases} 4x-2y=0 \\ 3x+y=5 \end{cases}[/math]

[list=1] [*]Write the system as an equation of matrices. [*]Find the inverse matrix of the given matrix. [*]Multiply both sides of the equation by the inverse matrix. [*]Multiply the matrices using matrix multiplication. [*]Simplify the equation. [*]State the solution to the system of equations. [/list] This applet is provided by Walch Education as supplemental material for the [i]UCSS Secondary Math I[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.
– Walch Education

4.2.

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5.

Determinants

  • 1. Calculate Determinant of 2x2 Matrix
  • 2. Determinantes 3x3

5.1.

Calculate Determinant of 2x2 Matrix

Input elements of matrix
– Pimpak Phataranavik

5.2.

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6.

Inverse of a Matrix

  • 1. UCSS Math II 3B.5.2 Example 1
  • 2. UCSS Math I 6.3.3 Example 1
  • 3. UCSS Math II 3B.5.1 Example 3

6.1.

UCSS Math II 3B.5.2 Example 1

Determine if the given matrix has an inverse.

[list=1] [*]Find the determinant of the matrix. [*]Determine if the matrix has an inverse. [/list] This applet is provided by Walch Education as supplemental material for the [i]UCSS Secondary Math II[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.
– Walch Education

6.2.

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6.3.

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7.

Solving Matrix Equations


    This chapter does not contain any resources yet.

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