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Suppose n is a positive integer and T is in F^n is defined by

T(z_1, z_2, ... , z_n) = (z_1+ ... +z_n, z_1+ ... +z_n, ...............,z_1+ ... +z_n)

Determine all eigenvalues and eigenvectors of T.

Thank you in advance!

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# Linear Transformations

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