(a) How many degrees of freedom are there in a real symmetric matrix, a real diagonal
Chapter 5, Problem 5.5.10(choose chapter or problem)
(a) How many degrees of freedom are there in a real symmetric matrix, a real diagonal matrix, and a real orthogonal matrix? (The first answer is the sum of the other two, because A = QQ T .) (b) Show that 3 by 3 Hermitian matrices A and also unitary U have 9 real degrees of freedom (columns of U can be multiplied by any e i ).
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