A particular matrix is both Hermitian and unitary. Show that its eigenvalues are all ±1. Note. The Pauli and Dirac matrices are specific examples. | Numerade

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SOLVED:Prove that the rows (columns) of a unitary matrix are orthonormal.

If A=begin{bmatrix} 2 & -1 & 1 -1 & 2 & -1 1 & -1 & 2 end{bmatrix}, verify that { A }^{ 3 }-{ 6A }^{ 2 } 9A-4I=0. Hence { A }^{ -1 }

Inverse of a unitary matrix is a unitary matrix.... | Filo

Introduction to eigenvalues and eigenvectors