Let A be a 6 x 6 matrix with characteristic polynomial det(AI – A) = (1 – 2)*(1 – 4)². Without knowing any further information about A, how many different values are possible for the geometric multiplicity of eigenvalue 1 = 2? Answer:

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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Let A be a 6 x 6 matrix with characteristic polynomial det(AI – A) = (1 – 2)*(1 – 4)².
Without knowing any further information about A, how many different values are possible for the
geometric multiplicity of eigenvalue 1 = 2?
Answer:
Transcribed Image Text:Let A be a 6 x 6 matrix with characteristic polynomial det(AI – A) = (1 – 2)*(1 – 4)². Without knowing any further information about A, how many different values are possible for the geometric multiplicity of eigenvalue 1 = 2? Answer:
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