Question: Let u, v, and w be vectors in R^n. Consider the following statementsDetermine if they are true or not (i) If 11 and v are

Let u, v, and w be vectors in R^n. Consider the following statementsDetermine if they are true or not

(i) If 11 and v are linearly independent and if as is net in span{11, v} then the set {11, 1', 3w} is linearly independent. (ii) If 11 and v are linearly independent and .5111 + by = Cl! + dv thena = candb = 63. (iii) If u, v, and w are linearly independent, then the set {11, 6v, 511 - 8v + w} is linearly independent. Determine which of the abeve statements are True (1) or False (2)

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