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08-04-2024
Mathematics

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Find the eigenvalues of the matrix
[ 1 1 1 1 1 ]
[ 1 1 1 1 1 ]
A = [ 1 1 1 1 1 ]
[ 1 1 1 1 1 ]
[ 1 1 1 1 1 ]
with their multiplicities. Note that the algebraic multiplicity agrees with the geometric multiplicity. (Why?) (Hint: What is the kernel of A?)

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