Label the following statements as true or false. Assume that the underlying inner product spaces are finite-dimensional. (a) All projections are self-adjoint.(b) An orthogonal projection is uniquely determined by its range.(c) Every self-adjoint operator is a linear combination of orthogonal projections.(d) If T is a projection on W, then T ( x) is the vector in W that isclosest to x . (e) Every orthogonal projection is a unitary operator.

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