(1 point) The matrix 4 0 4 0 0 -4 0 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue ₁ is The eigenvalue λ₂ is 0 A = 0 and a basis for its associated eigenspace is and a basis for its associated eigenspace is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(1 point) The matrix
4 0
4 0
0 -4 0
has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace.
The eigenvalue ₁ is
The eigenvalue ₂ is
0
A = 0
and a basis for its associated eigenspace is
and a basis for its associated eigenspace is
Transcribed Image Text:(1 point) The matrix 4 0 4 0 0 -4 0 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue ₁ is The eigenvalue ₂ is 0 A = 0 and a basis for its associated eigenspace is and a basis for its associated eigenspace is
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