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Find a basis B for W=Span({(1,2,0,3),(0,2,1,3),(2,-1,-2,-3),(3,3,-1,5)}). Show that (5,4,-2,8) is in W and determine (5,4,-2,8)B.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.5: Basis And Dimension

Problem 69E: Find a basis for R2 that includes the vector (2,2).

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Find a basis B for W=Span({(1,2,0,3),(0,2,1,3),(2,-1,-2,-3),(3,3,-1,5)}). Show that (5,4,-2,8) is in W and determine (5,4,-2,8)_B.

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