On the other hand, the singular values of A are the squnre roots of the nonzero eigenvalues of AT A. The document appears to contain a collection of random sentences and fragments of text from various sources with no clear overall topic or meaning. But it is true that a :;ymmetric mat rix has real eigenvalucs. HMW 1 Text Document 5 pages. We will show that P is the standard matrix for the orthogonal projecl ion of Rn onto W, i.
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