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V and W are finite dimensional inner product spaces,T:V?W is a linear map, and?represents the adjoint. 1A:...

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Advance Math

V and W are finite dimensional inner product spaces,T:V?W is alinear map, and?represents the adjoint.

1A: Let n be a positive integer, and suppose that T is definedon C^n (with the usual inner product) by T(z1,z2,...,zn) =(0,z1,z2,...,zn?1). Give a formula for T*.

1B: Show that ? is an eigenvalue of T if and only if ? is aneigenvalue of T*.

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