(a) Let v1 = (1, 1) and v2 = (1, 1). Show that {v1, v2} is a basis for R2. (b) Let T

Chapter 6, Problem 26

(choose chapter or problem)

(a) Let v1 = (1, 1) and v2 = (1, 1). Show that {v1, v2} is a basis for R2. (b) Let T : R2 R2 be the linear transformation satisfying T (v1) = (2, 3), T (v2) = (1, 1), where v1 and v2 are the basis vectors given in (a). Find T (x1, x2) for an arbitrary vector (x1, x2) in R2. What is T (4, 2)?

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