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Solution for Diagonalizable Matrices
The Evaluation of a Function of a Matrix for an Arbitrary Matrix
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applied approximate arbitrary base basis becomes boundary conditions called chap chapter clear Clearly column complete consider constant continuous coordinates corresponding defined definition demonstrated denoted dependent derived determinant diagonal differential equation discussed eigencolumns eigenfunctions eigenvalue eigenvectors elements equal equation evaluate example Exercises exists expansion expression finite follows formula Fourier function further given Hence Hermitian indicated infinite integral introduced inverse known limit linearly independent matrix means method multiplication normal notation Note obtained orthonormality Physics problem procedure Quantum Mechanics reader relations representation represented respectively result satisfies scattering seen shown Similarly solution solve space Step string Substitution Suppose theorem transform unique unit vanish variable vector Verify wave whence write written yields York zero