Linear Algebra and Its Applications · Problem 6.2.20

Positive Definite Matrices — Gilbert Strang

Mathematics · tests-for-positive-definiteness

Problem

Compute the three upper left determinants to establish positive definiteness. Verify that their ratios give the second and third pivots. A=[220253038].A = \begin{bmatrix} 2 & 2 & 0 \\ 2 & 5 & 3 \\ 0 & 3 & 8 \end{bmatrix}.

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