Linear Equations and Determinants

Eric Chiu, Jan 10, 2022

This is to let you see how determinant of a matrix is related to number of intersections between two straight lines.

Table of Contents

  1. Finding Number of Intersections
    1. Investigating in Number of Intersections of Two Lines 1
    2. Investigating in Number of Intersections of Two Lines 2
  2. How to use Cramer's Rule
    1. Determinants and Cramer's Rule

1.

Finding Number of Intersections

  • 1. Investigating in Number of Intersections of Two Lines 1
  • 2. Investigating in Number of Intersections of Two Lines 2

1.1.

Investigating in Number of Intersections of Two Lines 1

[size=200]Warm up Exercise[/size]
Play
Change a.
[size=150]Fix b = 3 and c = 5. Keep them unchanged. [br]Change the value of a. [br][br]Which of the following will change? [/size]
Change b.
[size=150]Fix a = 1 and c = 5. Keep them unchanged. [br]Change the value of b. [br][br]Which of the following will change? [/size]
Change c.
[size=150]Fix b = 3 and c = 5. Keep them unchanged. [br]Change the value of a. [br][br]Which of the following will change? [/size]
– Eric Chiu

1.2.

–

2.

How to use Cramer's Rule

  • 1. Determinants and Cramer's Rule

2.1.

Determinants and Cramer's Rule

– Jonathan Heyd, GeoGebra Forum

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