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Consider the matrix This matrix has eigenvalues λ = - A = a. Suppose you know that v = 8 -5 -5 -5 2 1 15 -9 -8 -2,1,3. (You do not need to verify this yourself) 1 8- -2 is an eigenvector of A. Find the corresponding eigenvalue. 3 b. Using what you determined in part a., compute bases for the eigenspaces corresponding to the remaining two eigenvalues.

Consider the matrix This matrix has eigenvalues λ = - A = a. Suppose you know that v = 8 -5 -5 -5 2 1 15 -9 -8 -2,1,3. (You do not need to verify this yourself) 1 8- -2 is an eigenvector of A. Find the corresponding eigenvalue. 3 b. Using what you determined in part a., compute bases for the eigenspaces corresponding to the remaining two eigenvalues.

Advanced Engineering Mathematics
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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Consider the matrix A = a. Suppose you know that v = 8 5 15 -5 -5 -5 PM -8 2 1 -9 This matrix has eigenvalues λ = -2, 1,3. (You do not need to verify this yourself) 1 B −2 is an eigenvector of A. Find the corresponding eigenvalue. b. Using what you determined in part a., compute bases for the eigenspaces corresponding to the remaining two eigenvalues.
Transcribed Image Text:Consider the matrix A = a. Suppose you know that v = 8 5 15 -5 -5 -5 PM -8 2 1 -9 This matrix has eigenvalues λ = -2, 1,3. (You do not need to verify this yourself) 1 B −2 is an eigenvector of A. Find the corresponding eigenvalue. b. Using what you determined in part a., compute bases for the eigenspaces corresponding to the remaining two eigenvalues.
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