Let A ? R ^ (nxn) with autovalue ? associated with the vector V_? ? R...

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Advance Math

Let A ? R ^ (nxn) with autovalue ? associated with the vectorV_? ? R ^ (n), determine the shape of the eigenvalues andeigenvectors of

a) 8A + I

b) A^(2) + ?A

c) -2A + 5I

d) 2A^(2) + 3?A

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