has eigenvalues A₁ H = 1 and A₂ = 5. The bases of the eigenspaces are v₁ the matrix A= 12 Find an invertible matrix S and a diagonal matrix D such that S-AS = D. S D= and v₂ = C , respectively

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 65CR: Determine all nn symmetric matrices that have 0 as their only eigenvalue.
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the matrix A=
}]
has eigenvalues A₁ = 1 and A₂ = 5. The bases of the eigenspaces are v₁ =
-12
Find an invertible matrix S and a diagonal matrix D such that S-¹AS = D.
S=
D=
and v₂ =
, respectively
Transcribed Image Text:the matrix A= }] has eigenvalues A₁ = 1 and A₂ = 5. The bases of the eigenspaces are v₁ = -12 Find an invertible matrix S and a diagonal matrix D such that S-¹AS = D. S= D= and v₂ = , respectively
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