7: Spectral Theory Last updated Save as PDF Page ID 98178 Ken Kuttler Brigham Young University via Lyryx 7.1: Eigenvalues and Eigenvectors of a Matrix Spectral Theory refers to the study of eigenvalues and eigenvectors of a matrix. It is of fundamental importance in many areas and is the subject of our study for this chapter. 7.2: Diagonalization When a matrix is similar to a diagonal matrix, the matrix is said to be diagonalizable. 7.3: Applications of Spectral Theory 7.4: Orthogonality 7.E: Exercises