(a) Let S₁ = {(-3,0,3), (6, −4, 7), (2, 1, −3)} and S₂ = {(3, 0,3), (3, -4, −1), (1, 1, 2)}. Test each set for linear independence. Note: The vectors in the sets are column vectors. They are written in row form in order to save space. (b) Use step-by-step Gauss Elimination to solve the system. -1 3 2 0 X1 3 2 140 X2 19 -3 22 0 X3 -264 1 X4 3

Q: (а) (4, — 1, 2), (-4, 10, 2) (Ъ) (—3,0, 4), (5, — 1, 2), (1, 1, 3) (c) (8, – 1, 3), (4,0, 1)

A: As per rules, we will solve first three subparts: a) Given vectors are   u=4,-1,2, v=-4,10,2. To…

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A: Answer:- Given, the vectors A  = (6, 7, 0, 9, 15), B = (a, b, c, d, e) and  C = (-4, -1, -2, 0, -15)…

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A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…

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