The spectral theorem for self-adjoint operators states that every self-adjoint operator on a finite-dimensional inner product space can be diagonalized by an orthonormal basis of eigenvectors corresponding to its real eigenvalues. This means that the operator can be represented in a simpler form, making it easier to analyze its properties and behaviors.
congrats on reading the definition of Spectral theorem for self-adjoint operators. now let's actually learn it.