Eigenvectors

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…

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