minimal-polynomials-and-diagonal-form

# Interactive video lesson plan for: Minimal Polynomials and Diagonal Form

#### Activity overview:

Matrix Theory: Using minimal polynomials, we characterize matrices that can be put into diagonal form. That is, there exists a basis of eigenvectors for A iff the minimal polynomial factors into distinct linear factors. As an application, we show that any matrix that satisfies A^m=I (m positive) is diagonalizable over the complex numbers.

Tagged under: Mathematics,matrix,theory,linear,algebra,minimal,characteristic,polynomial,diagonal,eigenvalue,eigenvector,eigenbasis,root,unity,DeMoivre,Bezout,identity,basis

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