Question: Verify that the matrix has eigenvalues 1/4 and corresponding eigenvectors What are the eigenvalues of A n ? Show that any vector can be

Verify that the matrix

A = 3 20 -15 m 3 20

has eigenvalues ± 1/4 and corresponding eigenvectors

X = 27 -1 and Y = 2

What are the eigenvalues of An? Show that any vector

Z = a b

can be written as Z = αX + βY and hence deduce that

AZ0 as n 0.

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