Question #f1c36

1 Answer
Ananda Dasgupta
Feb 14, 2018

False

Explanation:

Consider the matrices

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Both have the characteristic polynomial #(1- lambda )^2 #.

However the minimal polynomial for #A# is simply
#mu_A(mu) = mu-1#
Since #mu_A(A) = A-I=0#,
but this is not the minimal polynomial for #B#

#mu_A(B) = B-I ne 0#

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