Question: Let A be a Hermitian matrix with eigenvalues 1,..., n and orthonormal eigenvectors u1,..., un. Show that A = 1u1u1H + 2u2u2H + ... +

Let A be a Hermitian matrix with eigenvalues λ1,..., λn and orthonormal eigenvectors u1,..., un. Show that
A = λ1u1u1H + λ2u2u2H + ... + λnununH

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