Topic: Symmetric Matrices and the Spectral Theorem

Worked Examples of Commuting Symmetric Matrices

Trace and Determinant from Eigenvalues

The Spectral Theorem by Induction on Dimension

The Largest and Smallest Eigenvalues from Rayleigh Quotients

Symmetric Matrices as Real Normal Matrices

Symmetry in Structured Matrices

Symmetric Matrices and Their Entrywise Test

Symmetric Matrices and the Transpose Criterion

Stationary Rayleigh Quotients and Eigenvectors

Simultaneous Diagonalization of Commuting Symmetric Matrices