Let a, a2,... , ak ER", let b,b, ..., bk E Rm, and let C, C, ..., Ck E Rn+m [B] bi C = for each i = 1, 2, ..., k. (a) If a, a2, follow C, C2, (b) If a, a, follow C1, C, be defined by ak is linearly independent, and we make no assumptions about b,b, ..., bk, does it ,Ck is linearly independent? Why or why not? ak is linearly dependent, and we make no assumptions about b,b2, ..., bk, does it Ck is linearly dependent? Why or why not?