Question: math question: . Let V be be a vector space and v1, U2, . . . . On E V . Prove the following assertions.

math question:

. Let V be be a vector space and v1, U2, . . . . On E V . Prove the following assertions. (a) If (v1, . .., Un) = V, then (v1 - 12, V2 - V3, . . ., Un-1 - Un, Un) = V. (b) If v1, v2, ..., Un are linearly independent, then v1 - 12, U2 - V3, . . ., Un-1 - Un, Un are also linearly independent

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