Question: True or False and proof 1. if X is in the span X of A 1 A 2 and A 3 , then the set

True or False and proof

1. if X is in the span X of A 1 A 2 and A 3 , then the set {X,A 1 ,A 2 ,A 3 } is linearly independent as long as the Ai are independent

2. if {X,A 1 ,A 2 ,A 3 } is linearly dependent then X is in the span of A 1 ,A 2 and A 3

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