# Linear Algebra with GeoGebra

### Transforming Linear Algebra Education with GeoGebra Applets

#### James D. Factor (PI); Susan Pustejovsky (Co-PI), Alverno College‌ NSF TUES Grant Award ID: 1141045

https://www.geogebra.org/m/XnfUWvvp

Objectives

• Promote a deeper understanding of linear algebra and its applications
• Actively engage the student in exploring concepts
• Help the student visualize linear algebra operations
• Foster deeper understanding of algebraic, geometric, and numeric perspectives of linear algebra ‌

GeoGebra Applets

• Applet packages for 12 areas of linear algebra
• 2D and 3D interactive animation applets
• Instructional support for each linear algebra package ### Applet Topics

• Exploring basic operations of vectors in R2 and R3
• Exploring basic geometric operations of vectors in R2 and R3
• Illustrating geometric approaches to the proof of key properties
• Geometric illustration of linear combinations and coordinates
• Linear systems of equations
• Spanning spaces in R2 and R3
• Spanning subspaces in R2 and R3
• Row, column, and null subspaces
• Linear transformations in R2 and R3
• Geometric illustration of eigenvalues, eigenvectors, and eigenspaces
• Geometric application of determinants
• Orthogonal and orthonormal basis