### Spectral Theorem for Real Matrices: General nxn Case

Linear Algebra: We state and prove the Spectral Theorem for real vector spaces. That is, if A is a real nxn symmetric matrix, we show that A can be diagonalized using an orthogonal matrix. The proof refers to the 2x2 case and to results from the video Beyond Eigenspaces: Real Invariant Planes.

Length:
15:34