Please show full clear details steps for understand Problem 2. Let a =(1,6, —4), b 3 (-2, —9, 8), с %3 (3, 19, —7), d= (3, 19, – 12), and(1,2, 3) be vectors in R³.V =(a) Write v as a linear combination of a, b and c.(b) Show that v is not a linear combination of a, b and d.

If a1, a2, a3, a4 be the any 4 vector in Rn . we say that a1 can be written as the linear…

Answered: Problem 2. Let a = (1,6, –4), b = (1,2,…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 2CM: Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check...

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2. If , and the vector is drawn with its tail at the point, find the coordinates of the point at the head of .
Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check your work against the answers in the back of the book. Write w=(7,2,4) as a linear combination of the vectors v1, v2 and v3 if possible. v1=(2,1,0), v2=(1,1,0), v3=(0,0,6)
In Problem ,use the vectors in the figure at the right to graph each of the following vectors. 3v + u - 2w
In Problems 40–45, use the vectors v = 3i + j - 2k and w = - 3i + 2j - k to find each expression. 40. 4v - 3w 41. || v - w || 42. || v || - || w || 43. v * w 44. v . (v * w) 45. Find a unit vector orthogonal to both v and w.
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Which of the following sets of vectors are linearly independent?a){[-6,4]}b){[0,0], [-9,2]}c){[8,7], [9,-2], [5,3]}d){[1,-8], [-7,-1]}e){[-7,2,0], [-8,-6,0], [4,-3,0]}f){[-5,-3], [-5,-3]}
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Problem 2. Let a = (1,6, –4), b = (1,2, 3) be vectors in R3. (-2, —9,8), с %3 (3, 19, –7), d = (3, 19, – 12), and (a) Write v as a linear combination of a, b and c. (b) Show that v is not a linear combination of a, b and d.