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In each of Problems 10 through 14, determine whether the members of the given set of
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- Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4, u5 and u6. Then verify your solution. v=(10,30,13,14,7,27) u1=(1,2,3,4,1,2) u2=(1,2,1,1,2,1) u3=(0,2,1,2,1,1) u4=(1,0,3,4,1,2) u5=(1,2,1,1,2,3) u6=(3,2,1,2,3,0)arrow_forwardQ.4. Let a, 3 and b (a) Determine if bis a linear combination of a,, a, and a,. (b) Determine if the vectors a,, a, and a, are linear independent.arrow_forward1. Show that the vectors V1=(0, 3, 1, -1); V2=(6, 0, 5, 1); V3=(4, -7, 1, 3) form a linearly dependent set in R4? 2. Express V1 in number 1 as linear of V2 and V3 combinationarrow_forward
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- Which of the following sets of vectors are linearly independent? A. (4,8,-5), (-9, -4,-6), (-13, -12, -1) ● B. (1, -2, 4), (-8, 7, 0), (3, 6, 5) C. (-8, -2), (8,2) • D. (4, 8,-5), (-9, -4, -6), (-13, -1, -12 ), ( 4, 11, -13) E. (-3, 1, -2), (1, 7,-8) • F. (-1, 5), (9,-1) ● G. (-6, 1, 1, -2), (1, 7, -4,-9) H. (4, 6), (0,0)arrow_forwardA bird takes exactly two minutes to fly linearly from P(3,8,4) to Q(7,4,-3). Assuming that the bird maintains a constant speed, answer each of the following questions. What are the coordinates of the bird's position 45 seconds after leaving P? How many seconds after leaving P does the bird cross the xy-plane?arrow_forward2. Which of the following sets of vectors are linearly independent?arrow_forward
- If the vector v= -8 can be written as a G- 3 linear combination of v, and -3 V2 2 such that -3 v= a, v, +a2 V2 - Which of the following is the value of a, ? O 2 O 5 handwritten only O -2 O -5 None of themarrow_forward1. Write the vector H- 16 as a linear combination of the vectors and Darrow_forward
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