Solved: Let x1 = 2 1 3 , x2 = 3 1 4 , x3 = 2 6 4 (a) Show that x1, x2, and x3 are

Chapter 3, Problem 5

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Let x1 = 2 1 3 , x2 = 3 1 4 , x3 = 2 6 4 (a) Show that x1, x2, and x3 are linearly dependent. (b) Show that x1 and x2 are linearly independent. (c) What is the dimension of Span(x1, x2, x3)? (d) Give a geometric description of Span(x1, x2, x3).

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