l.ct A be an 11 x 11 matrix and b1 , denote the (k .j)cofactor of A. (a) Pro'e that if P is the matrix obtained from A by replac1ng column k by e1 . then det P = bi.J . (b) Show th:ll for each j , we have /lim: Apply Cramer's rule to Ax = e 1. (c) Deduce that1f B is the" x 11 matrix who;e (i.j)-entry is b, 1 thenA8 = detA)/ . This matrix 8 is called the classict1/ adjoim of A. I (d) Sho\\ that if detA :f= 0. then A- 1 = --B.
American Government Chapter 8 Political Parties Political Factions could destroy the government. A faction is a subgroup of bloc within a legislature or political party acting in pursuit of some special interest or position A political party is a group of political activist who organize to win elections, operate the government and determine public policy. o Recruiting candidates to run for public office under the party label. o Organizing and running elections. o Presenting alternative policies to the electorate. o Accepting responsibility for operating the government. o Acting as the organized opposition to the party in power. The three components are: party-in-the-electorate, party