Classifying a Point In Exercises 19-22, a
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- Vector Operations In Exercises 19-24, let u=(1,2,3), v=(2,2,-1), and w=(4,0,-4). Find 2u+4vw.arrow_forwardLet v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set {v12v2,2v23v3,3v3v1} linearly dependent or linearly independent? Explain.arrow_forwardProofProve in full detail that M2,2, with the standard operations, is a vector space.arrow_forward
- Take this test to review the material in Chapters 4 and 5. After you are finished, check your work against the answers in the back of the book. a Explain what it means to say that a set of vectors is linearly independent. b Determine whether the set S is linearly dependent or independent. S={(1,0,1,0),(0,3,0,1),(1,1,2,2),(3,4,1,2)}arrow_forwardRepresenting a Vector In Exercises 3-6, use a directed line segment to represent the vector. u=(2,4)arrow_forward
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