Find the characteristic equation of the given symmetric matrix, and then by inspection determine the dimensions of the eigenspaces. 6 3 3 A = 3 6 3 3 3 6 The characteristic equation of matrix A is -X+18 X² – 81 A+ 108 = 0 X Let A1 < A2. The dimension of the eigenspace of A corresponding to A1 is equal to 2 The dimension of the eigenspace 1 of A corresponding to A, is equal to
Find the characteristic equation of the given symmetric matrix, and then by inspection determine the dimensions of the eigenspaces. 6 3 3 A = 3 6 3 3 3 6 The characteristic equation of matrix A is -X+18 X² – 81 A+ 108 = 0 X Let A1 < A2. The dimension of the eigenspace of A corresponding to A1 is equal to 2 The dimension of the eigenspace 1 of A corresponding to A, is equal to
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Find the characteristic equation of the given symmetric matrix,
and then by inspection determine the dimensions of the eigenspaces.
[6 3 3
A = |3 6 3
[3 3 6]
The characteristic
equation of matrix A is -° + 18 X² – 81 A + 108
= 0 X
Let A1 < A2.
The dimension of the eigenspace
2
of A corresponding to A is equal to
The dimension of the eigenspace
1
of A corresponding to A, is equal to](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9b53ebc-804c-49f3-b917-c4e1c4975b52%2F3b674b47-3f99-464b-a972-6a36642c5f0b%2Fqr7sv9o_processed.png&w=3840&q=75)
Transcribed Image Text:Find the characteristic equation of the given symmetric matrix,
and then by inspection determine the dimensions of the eigenspaces.
[6 3 3
A = |3 6 3
[3 3 6]
The characteristic
equation of matrix A is -° + 18 X² – 81 A + 108
= 0 X
Let A1 < A2.
The dimension of the eigenspace
2
of A corresponding to A is equal to
The dimension of the eigenspace
1
of A corresponding to A, is equal to
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