Find the characteristic equation of the given symmetric matrix, and then by inspection determine the dimensions of the eigenspaces. 1 A = 2 4 The characteristic equation of matrix A is X2 –A = 0 X Let A1 < A2. The dimension of the eigenspace of A corresponding to A1 is equal to The dimension of the eigenspace of A corresponding to A2 is equal to

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the characteristic equation of the given symmetric matrix,
and then by inspection determine the dimensions of the eigenspaces.
- 1
[1 2]
A
2 4
The characteristic
equation of matrix A is X - A
1² – A
= 0 X
Let A1 < A2.
The dimension of the eigenspace
of A corresponding to A1 is equal to
The dimension of the eigenspace
5
of A corresponding to A, is equal to
Transcribed Image Text:Find the characteristic equation of the given symmetric matrix, and then by inspection determine the dimensions of the eigenspaces. - 1 [1 2] A 2 4 The characteristic equation of matrix A is X - A 1² – A = 0 X Let A1 < A2. The dimension of the eigenspace of A corresponding to A1 is equal to The dimension of the eigenspace 5 of A corresponding to A, is equal to
Find the characteristic equation of the given symmetric matrix,
and then by inspection determine the dimensions of the eigenspaces.
1
A =
2
[2 4]
The characteristic
= 0 /
equation of matrix A is X – 5 A
Let A1 < A2.
The dimension of the eigenspace
5
of A corresponding to A1 is equal to
The dimension of the eigenspace
of A corresponding to A, is equal to
Transcribed Image Text:Find the characteristic equation of the given symmetric matrix, and then by inspection determine the dimensions of the eigenspaces. 1 A = 2 [2 4] The characteristic = 0 / equation of matrix A is X – 5 A Let A1 < A2. The dimension of the eigenspace 5 of A corresponding to A1 is equal to The dimension of the eigenspace of A corresponding to A, is equal to
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