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Determine whether each of the following matrices is positive definite. If it is not, give a submatrix and determinant that demonstrates this. 0 3-2 3 -1 3 -2 3-2 A₁ = A₂ = 1 1 1 -2 4 -3 19 3 -2 -3 1-33 A3 = -3 12 -1 3 -1 -3 < Select an answer > k Select an answer > A₁ is positive definite A₁ is not positive definite: < Select an answer > < Select an answer >

Determine whether each of the following matrices is positive definite. If it is not, give a submatrix and determinant that demonstrates this. 0 3-2 3 -1 3 -2 3-2 A₁ = A₂ = 1 1 1 -2 4 -3 19 3 -2 -3 1-33 A3 = -3 12 -1 3 -1 -3 < Select an answer > k Select an answer > A₁ is positive definite A₁ is not positive definite: < Select an answer > < Select an answer >

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 77E
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Determine whether each of the following matrices is positive definite. If it is not, give a submatrix and determinant that demonstrates this. 0 3-2 3 -1 3 -2 3-2 A₁ = A₂ = 1 1 1 -2 4 -3 19 3 -2 -3 1 -3 3 A3 = -3 12 -1 3 -1 -3 < Select an answer > < Select an answer > A₁ is positive definite A₁ is not positive definite: < Select an answer > < Select an answer >
Transcribed Image Text:Determine whether each of the following matrices is positive definite. If it is not, give a submatrix and determinant that demonstrates this. 0 3-2 3 -1 3 -2 3-2 A₁ = A₂ = 1 1 1 -2 4 -3 19 3 -2 -3 1 -3 3 A3 = -3 12 -1 3 -1 -3 < Select an answer > < Select an answer > A₁ is positive definite A₁ is not positive definite: < Select an answer > < Select an answer >
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