Show that if an n × n matrix U satisfies for all x and y

Chapter , Problem 5E

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QUESTION:

Show that if an n × n matrix U satisfies for all x and y in Rn, then U is an orthogonal matrix.

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QUESTION:

Show that if an n × n matrix U satisfies for all x and y in Rn, then U is an orthogonal matrix.

ANSWER:

Solution 5ELet be matrix.It is stated that, for all The objective is to prove that is orthogonal matrix.Recollect that is orthogonal matrix if and only if

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