題組內容

1. (20%) True or False. In each case, answer T if the statement is always true and F otherwise. In the case of a false statement, explain why or give an example to show that the statement is not always true.

(j) Let λ1, λ2, ..., λn be the eigenvalues of matrix A, then det(A) = λ1 + λ2 + ... + λn.