Question: Please help me understand this better 1. Suppose u, v, and w is a linearly independent set (these would have to be non-zero vectors). Also,

Please help me understand this better

1. Suppose u, v, and w is a linearly independent set (these would have to be non-zero vectors). Also, two more vectors are defined as a = - u - v+ w and b = u - v + w a. Is the set {a, b, u} linearly independent? Show the work needed to reach the conclusion. In other word, prove. (4) b. Is the set {a, b, v} linearly independent? Show the work needed to reach the conclusion. (4)

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