Here is my series of videos that I produced with the New Media Center of the University Basel for the Linear Algebra II course in spring semester 2017.

This mindmap gives a short overview how the videos are related:

**001 Eigenvectors**

We will define eigenvalues, eigenvectors and the eigenspace. We will learn the link between the characteristic polynomial and the eigenvalues.

You can find the screenshot here.

**002 Diagonalizing a 2×2 matrix**

We will diagonalize a 2×2 matrix by computing the eigenvectors.

You can find the screenshot here.

**003 Diagonalizing a 3×3 matrix**

We will diagonalize a 3×3 matrix by computing the eigenvectors.

You can find the screenshot here.

**004 Application of Diagonalizing**

We will find an iterative formula for a recursive law by using matrix diagonalization.

You can find the screenshot here.

**005 Algebraic and geometric multiplicities**

We will define algebraic and geometric multiplicities, see how they are related and define the generalized eigenspaces.

You can find the screenshot here.

**006 Jordan normal form**

We will define the Jordan normal form and describe an algorithm to find the corresponding base change matrix.

You can find the screenshot here.

**007 Example of a Jordan normal form**

We will compute the Jordan normal form and the base change matrix for a matrix with one eigenvalue and one Jordan block.

You can find the screenshot here.

**008 Example of a Jordan normal form**

We will compute the Jordan normal form and the base change matrix for a matrix with one eigenvalue and two Jordan blocks.

You can find the screenshot here.

**009 Example of a Jordan normal form**

We will compute the Jordan normal form and the base change matrix for a matrix with two eigenvalue and two Jordan blocks.

You can find the screenshot here.