2326 deal with the eigenvalue/eigenvector problem for n n real skew-symmetric matrices.Let A be an n n real skew-symmetric matrix.(a) Prove that for all v1 and v2 in Cn,Av1, v2 = v1, Av2,where , denotes the standard inner product inCn. [Hint: See Lemma 7.5.9.](b) Prove that all nonzero eigenvalues of A are pureimaginary ( = ). [Hint: Model your proofafter that of (1) in Theorem 7.5.4.]

● “Famine, Affluence, and Morality” Singer ○ Charity- good to do but not bad not to do, “supereragatory act” ■ Ex: Saying “bless you,” donating money, volunteering, giving blood ○ Duty- an act that is good to do and bad not to do, you HAVE to do it, moral responsibility ■ Ex: providing for your children, paying taxes, jury duty,...