has two distinct eigenvalues with A₁

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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The matrix
has two distinct eigenvalues with A₁ < ₂.
The smaller eigenvalue A₁ = 5
eigenspace is 2
C =
The larger eigenvalue A₂ -=
eigenspace is 2
0 - 12
1
10
-6
1
has multiplicity 5
has multiplicity 2
Is the matrix C diagonalizable? not diagonalizable
-34
32
-19
and the dimension of the corresponding
and the dimension of the corresponding
Transcribed Image Text:The matrix has two distinct eigenvalues with A₁ < ₂. The smaller eigenvalue A₁ = 5 eigenspace is 2 C = The larger eigenvalue A₂ -= eigenspace is 2 0 - 12 1 10 -6 1 has multiplicity 5 has multiplicity 2 Is the matrix C diagonalizable? not diagonalizable -34 32 -19 and the dimension of the corresponding and the dimension of the corresponding
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