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To be used for linear algebra, and closely related disciplines such as tensor algebras and maybe clifford algebras.

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Bra-ket representation of projection operators

Let me define (orthogonal) projection operator $P$ by its characterization: $P = P^2 = P^\dagger$ How can I show that $P$ can always be represented as $\sum_{i=1}^n |\psi_i\rangle\langle\psi_i|$ (whe …
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