It can be shown that the algebraic multiplicity of an eigenvalue λ is always greater than or equal to the dimension of the eigenspace corresponding to A. Find h in the matrix A below such that the eigenspace for A=3 is two-dimensional. A= 3-28 0 0 0 4 1 h 0 03 5 00-1 The value of h for which the eigenspace for λ = 3 is two-dimensional is h =
It can be shown that the algebraic multiplicity of an eigenvalue λ is always greater than or equal to the dimension of the eigenspace corresponding to A. Find h in the matrix A below such that the eigenspace for A=3 is two-dimensional. A= 3-28 0 0 0 4 1 h 0 03 5 00-1 The value of h for which the eigenspace for λ = 3 is two-dimensional is h =
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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Transcribed Image Text:It can be shown that the algebraic multiplicity of an eigenvalue λ is always greater than or equal to the
dimension of the eigenspace corresponding to A. Find h in the matrix A below such that the eigenspace for
A=3 is two-dimensional.
A =
3-28
1 h
03
0
405
0
0 00-1
.....
The value of h for which the eigenspace for λ = 3 is two-dimensional is h =
CAN
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