Please note that the content of this book primarily consists of
articles available from Wikipedia or other free sources online. In
mathematics, Specht's theorem gives a necessary and sufficient
condition for two matrices to be unitarily equivalent. It is named
after Wilhelm Specht, who proved the theorem in 1940. Two matrices
A and B are said to be unitarily equivalent if there exists a
unitary matrix U such that B = U *AU. Two matrices which are
unitarily equivalent are also similar. Two similar matrices
represent the same linear map, but with respect to a different
basis; unitary equivalence corresponds to a change from an
orthonormal basis to another orthonormal basis.
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