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

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

1A: Let n be a positive integer, and suppose that T is defined on 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 λ is an eigenvalue of T if and only if λ is an eigenvalue of T*.

Expert Solution

Colby Messinger answered 1 year ago

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