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  • 07-02-2024
  • Mathematics
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For a 2×2 matrix A, let λ₁,λ₂ be the eigenvalues (not necessarily distinct), and define N(A)=max{∣λ₁∣,∣λ₂∣}. Is it true that N(A+B)≤N(A)+N(B)? That, N(AB)≤ N(A)N(B).

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