The matrix A = -2 -4 0 2 4 0 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a -2 -2 2] basis of each eigenspace. A₁ = A₂ = has multiplicity 1, with a basis of has multiplicity 2, with a basis of

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The matrix A =
-24 01
2 4 0 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a
-2 -2 2
basis of each eigenspace.
A₁ =
A₂ =
has multiplicity 1, with a basis of
has multiplicity 2, with a basis of
Transcribed Image Text:The matrix A = -24 01 2 4 0 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a -2 -2 2 basis of each eigenspace. A₁ = A₂ = has multiplicity 1, with a basis of has multiplicity 2, with a basis of
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