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Vector Spaces and Linear Operators
Solution for Diagonalizable Matrices
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applied approximation arbitrary basis becomes boundary conditions called chap chapter clear Clearly coefficients column complete consider constant continuous coordinates corresponding defined definition demonstrated denoted derived desired determinant diagonal difference differential equation direction discussed domain eigencolumns eigenfunctions eigenvalue element equal equation evaluate example Exercises exists expansion expression finite follows formula function further given Green's function Hence Hermitian independent indicated infinite integral introduced inverse known leads limit linear lowest matrix method multiplication normal notation Note obtained operator orthonormality Physics plane positive problem procedure Quantum Mechanics reduces relations replaced representation represented result satisfies scattering solution solve space Step string Substitution Suppose theorem transform unique unit vanish variable vector verified wave write written yields York zero