Label the following statements as true or false. (a) The singular values of any linear operator on a finite-dimensional vector space are also eigenvalues of the operator. (b) The singular values of any matrix A are the eigenvalues of A∗A. (c) For any matrix A and any scalar c, if σ is a singular value of A,then |c|σ is a singular value of cA. (d)The singular values of any linear operator are nonnegative. (e) If λ is an eigenvalue of a self-adjoint matrix A, then λ is a singular value of A. (f) For any m×n matrix A and any b ∈ Fn, the vector A†b is a solution to Ax = b. (g) The pseudoinverse of any linear operator exists even if the operator is not invertible.

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