Let A be a 9 x 9 matrix with characteristic polynomial det(AI – A) = (1 – 3)*(1 – 4)²(1 – 5)³. Without knowing any further information about A, how many different values are possible for the geometric multiplicity of eigenvalue 1 = 5?

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Chapter2: Second-order Linear Odes
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Let A be a 9 X 9 matrix with characteristic polynomial
det(1I – A) = (1 – 3)ª(1 – 4)²(1 – 5)³.
-
Without knowing any further information about A, how many different values are possible
for the geometric multiplicity of eigenvalue 1
5?
Answer:
Transcribed Image Text:Let A be a 9 X 9 matrix with characteristic polynomial det(1I – A) = (1 – 3)ª(1 – 4)²(1 – 5)³. - Without knowing any further information about A, how many different values are possible for the geometric multiplicity of eigenvalue 1 5? Answer:
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