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****PLEASE ANSWER ONLY IF YOU WILL FINISH ALL PROBLEMS,OTHERWISE DO NOT ANSWER IF YOU WILL ONLY ANSWER 1 PROBLEM, LEAVE ITFOR SOMEONE ELSE WHO CAN FINISH IT***
3. In each part, determine whether the vectors are linearly inde- pendent or are linearly dependent in R¹. a. (3,8, 7,-3), (1, 5, 3, -1), (2, -1, 2, 6), (4, 2, 6, 4) b. (3,0, -3, 6), (0, 2, 3, 1), (0, -2, -2, 0), (-2, 1, 2, 1) 4. In each part, determine whether the vectors are linearly inde- pendent or are linearly dependent in P₂. a. 2-x+ 4x², 3 + 6x + 2x², 2+ 10x - 4x² b. 1 + 3x + 3x², x + 4x², 5+ 6x + 3x², 7+2x-x²
11. In each part, determine whether the matrices span M22- a. 다아라 8화 [1] b. [1 C. 하고 하고 외 FFERFR [H 15. Let W be the solution space to the system Ax = 0. Determine whether the set {u, v} spans W. [1 1 1 1 A = 1 0 10 0 1 0 1 a. u = (1, 0, -1, 0), v = (0, 1, 0, -1) b. u = (1, 0, -1, 0), v = (1, 1, -1, −1)
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