This chapter introduces the idea of studying points and lines which are fixed by matrix transformations. I would suggest lots of investigations involving autograph. I will upload a video soon as to how autograph might be used by students..
Investigating invariant lines – Smart Notebook – A starting point for use in the IT room with 2D Autograph. Improve pupils intuition about transformations and invariance.
Eigenvalues and Eigenvectors 1 – Powerpoint – Finding the eigenvalues and eigenvectors for a 2×2 matrix.
Eigenvalues and Eigenvectors 2 – Powerpoint – Finding the eigenvalues and eigenvectors for a 3×3 matrix.
Diagonalisation – Powerpoint – The process of diagonalisation and it’s uses.
Invariant points and lines – Finding invariant lines that don’t necessarily pass through the origin.
Eigenvalues and Eigenvectors
More content coming soon…