Question: Linear Algebra Help 2. For each statement, determine if it is TRUE or FALSE. If it is true, give a justication for Why it is

Linear Algebra Help

2. For each statement, determine if it is TRUE or FALSE. If it is true, give a justication for Why it is true. If it is false, give a counterexample demonstrating that it is false. (a) If the set of vectors {17:1, 1732, 6'33} in R3 is linearly independent, then the set {1751, 1752} must also be linearly independent. (b) If the set of vectors {131,132} in R3 is linearly independent and 653 is another vector in R3, then the set {651, 1352, g} must also be linearly independent. (c) If the set of vectors {111,132} in R3 is linearly independent, then the set {1751 + 132,131 132} must also be linearly independent

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