3. (a) Determine whether the vectors = (-3,0,4) v = (5,-1,2) w = (1,1,3) form a...

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3. (a) Determine whether the vectors = (-3,0,4) v = (5,-1,2) w = (1,1,3) form a linearly dependent set or a linearly independent set in R. (b) Consider the set of all triples of the form (a,b,c), where a +b = c. Check whether the set is a subspace of R. 3. (a) Determine whether the vectors = (-3,0,4) v = (5,-1,2) w = (1,1,3) form a linearly dependent set or a linearly independent set in R. (b) Consider the set of all triples of the form (a,b,c), where a +b = c. Check whether the set is a subspace of R.