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Unitary diagonalization of a normal matrix
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Mathematics
Area of mathematics
Algebra
Linear algebra
Linear operator theory
Normal matrix
Created
2026-09-24
Updated
2026-10-03
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Every
finite-dimensional
complex
normal matrix
has an
orthonormal eigenbasis
, equivalently
U
†
A
U
=
D
(1)
for some unitary
U
and
diagonal
D
.
Ancestors
(7)
Normal matrix
Linear operator theory
Linear algebra
Algebra
Area of mathematics
Mathematics
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Matrix 2-norm of a normal matrix
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