Question: Let u, v, and w be vectors in R. Consider the following statements. (i) If u and v are linearly independent, then the set

Let u, v, and w be vectors in R". Consider the following

Let u, v, and w be vectors in R". Consider the following statements. (i) If u and v are linearly independent, then the set {u, 8v, 5u - 2v} is linearly independent. (ii) If u and v are linearly independent and if w is in span{u, v} then the set {u, v, 3w} is linearly independent. (iii) If u and v are linearly dependent and au + bv = cu + dv then a = c and b d. Determine which of the above statements are True (1) or False (2).

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