Key Phrases - Statistically Improbable Phrases (SIPs):
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monic matrix polynomials, same invariant polynomials, invertible leading coefficient, annihilating polynomial, orthonormal eigenbasis, linear elementary divisors, natural normal form, matrix norm induced, pure imaginary zeros, extremal vector, best approximate solution, standard triple, unitary space, linear transformation acting, norm axioms, leading principal minors, rank decomposition, leading principal submatrix, controllable subspace, singular bases, scalar polynomials, perturbed eigenvalues, companion matrix, latent vectors, component matrices
Key Phrases - Capitalized Phrases (CAPs):
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Ker Zko, Matrix Let, Hence Theorem
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