Eigenvalues

This course explores eigenvalues and diagonalization, extending to matrix functions such as exponentials, powers, roots, trigonometric functions, and limits. It also covers complex eigenvalues, systems of differential equations, Markov chains, and Jordan canonical form.

Syllabus

Diagonalize 2x2 matrix.
Diagonalize 3x3 matrix.
Diagonalization and Legend of Zelda.
Not diagonalizable.
Derivative in a box.
Matrix of a matrix.
Matrix with respect to a basis.
Complex eigenvalues.
Pokémon battle.
Fibonacci sequence.
Square root of a matrix.
e to a matrix.
Matrix to a matrix.
Matrix exponential properties.
System of differential equations.
Cos of matrix.
Arctan of a Matrix.
A^2020.
Limit of a matrix.
Matrix Limits and Markov Chains.
Matrix Limit Gone Wrong.
Jordan Canonical Form.
FAST eigenvalues.
Diagonalize 4x4 Matrix.
matrix factorial.
i^i with matrices.
Imaginary power of a matrix.
Square root of matrix #shorts.
imaginary root of matrix.
matrix choose a matrix.