eigenpicutres

Group project of Honours Algebra at University of Edinburgh

Collaborators: Katie Bibby (s1731437), Andrea Lhotská (s1612804), Teresa Matamoro Zatarain (s1719611), Yanyu Zhou (s2032537)

In this project, we visualise linear maps using "eigenpictures". We compute the four basic tasks and then investigate eigenpictures further.

1. Task 1: Basic eigenpicture
2. Task 2: Displaying the Eigenvectors
3. Task 3: Singular value decomposition
4. Task 4: The complete eigenpicture
5. Further Questions: Investigating different types of matrices and their eigenpictures

• Diagonal Matrices
• Jordan Matrices
• Symmetric Matrices
• Invertible Matrices

6. Other interesting features of Eigenpictures