{"id":65,"date":"2013-03-29T20:13:37","date_gmt":"2013-03-29T20:13:37","guid":{"rendered":"http:\/\/mathedup.wordpress.com\/?page_id=65"},"modified":"2013-04-21T15:26:16","modified_gmt":"2013-04-21T15:26:16","slug":"eigenvectors","status":"publish","type":"page","link":"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-4\/eigenvectors\/","title":{"rendered":"Eigenvectors"},"content":{"rendered":"

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..<\/p>\n

Investigating invariant lines<\/a> – Smart Notebook – A starting point for use in the IT room with 2D Autograph. Improve pupils intuition about transformations and invariance.<\/p>\n

Eigenvalues and Eigenvectors 1<\/a> – Powerpoint – Finding the eigenvalues and eigenvectors for a 2×2 matrix.<\/p>\n

Eigenvalues and Eigenvectors 2<\/a> – Powerpoint – Finding the eigenvalues and eigenvectors for a 3×3 matrix.<\/p>\n

Diagonalisation<\/a> – Powerpoint – The process of diagonalisation and it’s uses.<\/p>\n

Invariant points and lines<\/a> – Finding invariant lines that don’t necessarily pass through the origin.<\/p>\n

Eigenvalues and Eigenvectors<\/h3>\n