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Show That the Given Symmetric Matrix a Is Positive Definite

question 65

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Show that the given symmetric matrix A is positive definite by finding the determinants of its leading principal submatrices. Then find the LDU-factorization of A. Show that the given symmetric matrix A is positive definite by finding the determinants of its leading principal submatrices. Then find the LDU-factorization of A.

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Definitions:

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