Let V = {(xi,x2,X3,X4,x5) G R5 : Xi - 2x2 + 3x3 - x4 + 2x5 = 0}. (a) Show that S =

Chapter 3, Problem 10

(choose chapter or problem)

Let V = {(xi,x2,X3,X4,x5) G R5 : Xi - 2x2 + 3x3 - x4 + 2x5 = 0}. (a) Show that S = {(0,1,1,1,0)} is a linearly independent subset of V. (b) Extend S to a basis for V.

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