Determine the symmetric matrix A in each quadratic form and show if A is positive definite, positive semi definite or neither positive definite nor positive semi definite using principal submatrices approach. a. x Ax=5x+3x²+25x3+4x₁x₂ +14X₂X3

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
Problem 16EQ
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Determine the symmetric matrix A in each quadratic form and show if A is positive definite, positive
semi definite or neither positive definite nor positive semi definite using principal submatrices approach.
a. x¹ Ax = 5x + 3x² + 25x² + 4x₁x₂ +14X₂X3
Transcribed Image Text:Determine the symmetric matrix A in each quadratic form and show if A is positive definite, positive semi definite or neither positive definite nor positive semi definite using principal submatrices approach. a. x¹ Ax = 5x + 3x² + 25x² + 4x₁x₂ +14X₂X3
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