Une TIC Problem 2. The matrix 0. -3 A -4 7 has eigenvalue A 3 repeated three times It has an eigenspace of dimension 2 and one generalized eigenvector A. Find a basis for the 3-eigenspace: 1 1. B. Find a generalized 3-eigenvector, as well as the eigenvector it generalizes: generalizes the 3 eigenvector v 00 19

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Une TIC
Problem 2.
The matrix
0.
-3 3
A
-4
7
has eigenvalue A
3 repeated three times. It has an eigenspace of dimension 2 and one generalized eigenvector.
A. Find a basis for the 3-eigenspace:
.1
1
1
B. Find a generalized 3-eigenvector, as well as the eigenvector it generalizes:
generalizes the 3-eigenvector v
1.
19
Transcribed Image Text:Une TIC Problem 2. The matrix 0. -3 3 A -4 7 has eigenvalue A 3 repeated three times. It has an eigenspace of dimension 2 and one generalized eigenvector. A. Find a basis for the 3-eigenspace: .1 1 1 B. Find a generalized 3-eigenvector, as well as the eigenvector it generalizes: generalizes the 3-eigenvector v 1. 19
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