Eigenvalues and Eigenvectors (AQA A-Level Further Maths): Quizzes

It maintains its direction

The eigenvalue (scaling factor)

It is reversed in direction

Every $\lambda$ would satisfy the equation

$\det(\mathbf{A} - \lambda\mathbf{I}) = 0$

Every matrix satisfies its char. equation

The eigenvectors of $\mathbf{M}$

$\mathbf{PD}^n\mathbf{P}^{-1}$

Raise each diagonal element to power $n$

A line of invariant points (fixed points)