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    Mathematics
  3. Study Set
    Linear Algebra with Applications
  4. Exam
    Exam 11: Additional Topics and Applications
  5. Question
    Show That the Given Symmetric Matrix a Is Positive Definite
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Show That the Given Symmetric Matrix a Is Positive Definite

Question 65

Question 65

Essay

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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