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 >
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![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 >](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F373110e7-e385-4127-adf5-b0ae0e197db9%2Fcaba5dd1-bafa-407e-a97d-8963903cb652%2Fzltg1b_processed.png&w=3840&q=75)
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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