-
Linear Algebra
- Determinant of a 2 by 2 Matrix
- Transformation Matrix
- Geometry of Cross Product
This activity is also part of one or more other Books. Modifications will be visible in all these Books. Do you want to modify the original activity or create your own copy for this Book instead?
This activity was created by '{$1}'. Do you want to modify the original activity or create your own copy instead?
This activity was created by '{$1}' and you lack the permission to edit it. Do you want to create your own copy instead and add it to the book?
Linear Algebra
Guillermo Bautista, Jun 5, 2022
-
1. Determinant of a 2 by 2 Matrix
-
2. Transformation Matrix
-
3. Geometry of Cross Product
Determinant of a 2 by 2 Matrix
Move the points below and observe what happens. Calculate the determinant of the matrix and note your observations. Only move the slider once you have answered the questions below.
Questions
1.) How are the coordinates of the points related to the square matrix?
2.) What do you observe about the determinant of the matrix? How is it related to the figure?
3.) When is the determinant positive, negative, or 0?
4.) Based on your findings in questions 1 to 3, make a conjecture about the determinant of a 2 by 2 matrix.
Saving…
All changes saved
Error
A timeout occurred. Trying to re-save …
Sorry, but the server is not responding. Please wait a few minutes and then try to save again.