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redsnake660Lv1
6 Nov 2019
Let U denote an n times n unitary matrix. Show that (UH)-l = (U-1)H. Show that UH is also unitary. Show that ||U X|| = ||X|| for all columns X in Cn. Show that every (possibly complex) eigenvalue lambda of U satisfies |lambda| = 1. Show transcribed image text Let U denote an n times n unitary matrix. Show that (UH)-l = (U-1)H. Show that UH is also unitary. Show that ||U X|| = ||X|| for all columns X in Cn. Show that every (possibly complex) eigenvalue lambda of U satisfies |lambda| = 1.
Let U denote an n times n unitary matrix. Show that (UH)-l = (U-1)H. Show that UH is also unitary. Show that ||U X|| = ||X|| for all columns X in Cn. Show that every (possibly complex) eigenvalue lambda of U satisfies |lambda| = 1.
Show transcribed image text Let U denote an n times n unitary matrix. Show that (UH)-l = (U-1)H. Show that UH is also unitary. Show that ||U X|| = ||X|| for all columns X in Cn. Show that every (possibly complex) eigenvalue lambda of U satisfies |lambda| = 1.0
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