Let S = {v1, v2, v3} be a set of linearly independent vectors in R^3. (a) Are the vectors in the set T1 = {v1, v1 + v3, v3} linearly independent? Show how you arrived at your answer. (b) Are the vectors in the set T2 = {v1 − v3, 3v1 + v2, v2 + 5v3} linearly independent? Show how you arrived at your answer

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A: Expression

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Q: * Find the values for h for which the vectors are linearly dependent: 7

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A: Solution: (a) We see,            v1 + v2 = [0 5 8] + [12 -20 5]                          = [0+12…

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A: We can solve the given problem as follows:

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A: Given that x1-x3+5x4=0 x2+4x3-3x4=0

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A: A set of non-zero vectors {x1,x2,...,xn} is linearly dependent if some of these vectors say xi is a…

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Q: Please help

A: Step 1:Calculate the sum of the vectors (-i+3j-k) and…