Compute the eigenvalues and eigenvectors of A and 4²: 3 =[-28] and 4² = -2 -3 A A2 has the same as A. When A has eigenvalues A₁ and A2, A² has eigenvalues In this example, why is A+ A2 = 13?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Compute the eigenvalues and eigenvectors of A and 4²:
-[-28]
A² has the same
A =
and A²
-3
as A. When A has eigenvalues A₁ and A2, A² has eigenvalues
In this example, why is A2+2 = 13?
-
Transcribed Image Text:Compute the eigenvalues and eigenvectors of A and 4²: -[-28] A² has the same A = and A² -3 as A. When A has eigenvalues A₁ and A2, A² has eigenvalues In this example, why is A2+2 = 13? -
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