Principles of Quantum Mechanics · Problem 1.8.1

Mathematical Introduction — R. Shankar

Physics — Quantum Mechanics · eigenvalue-problem

Problem

(1) Find the eigenvalues and normalized eigenvectors of the matrix Ω=[131020014]\Omega = \begin{bmatrix} 1 & 3 & 1 \\ 0 & 2 & 0 \\ 0 & 1 & 4 \end{bmatrix} (2) Is the matrix Hermitian? Are the eigenvectors orthogonal?

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