1. Label the following statements as true or false. (a) Every linear operator on an ndimensional vector space has 7?. dis- tinct eigenvalues. (b) If a real matrix has one eigenvector, then it has an innite number of eigenvectors. (c) There exists a square matrix with no eigenvectors. (d) Eigenvalues must be nonzero scalars. (e) Any two eigenvectors are linearly independent. (f) The sum of two eigenvalues of a linear operator T is also an eigen- value of T