Femtobytes
Problem type

Eigenvalues and eigenvectors

What it solves
Find the eigenvalues and eigenvectors of a 2 by 2 or 3 by 3 matrix: build the characteristic polynomial, solve it, find the directions the matrix does not turn, and check every one by multiplying.
Subject
Linear Algebra
Topic
Eigenvalues and eigenvectors
Also called
eigenvalue, eigenvector, characteristic polynomial, diagonalise
Your problem

Find the eigenvalues and eigenvectors of this matrix.

A=[4123]A = \left[ \begin{array}{rr} 4 & 1 \\ 2 & 3 \end{array} \right]
The square matrix
Size2
Whole numbers or fractions for 2 by 2; whole numbers for 3 by 3.
Invent a new one: