Question: Let a, a2,... , ak ER, let b,b, ..., bk E Rm, and let C, C, ..., Ck E Rn+m [B] bi C =

Let aj, a2, ..., % ER, let b?, b2, ... , bk ER, and let C1, C2, ..., CK E Rn+m be defined by C; = 1, for each i = 1, 2, ...

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?

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To solve the problem lets analyze each part separately Part a Statement If mathbfa1 mathbfa2 ldots mathbfak is linearly independent and we make no ass... View full answer

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