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Please answer the given question in detail: Let { Al, A2, . .., Ak} C Rm be a linearly independent subset of vectors. Suppose Ak+1

Please answer the given question in detail:

Let { Al, A2, . .., Ak} C Rm be a linearly independent subset of vectors. Suppose Ak+1 E RM is not in the sub- space spanned by the vectors Al, A2, ..., Ak. Prove that the set { Al, A2, ..., Ak, Ak+1} is linearly independent

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