Question: Solve the following problem. Problem 1(*): You use the standard basis of R3, but your friend uses the basis . For r = , find

Solve the following problem.

Problem 1(*): You use the standard basis of R3, but your friend uses the basis . For r = , find Tg. In other words, the coordinates that your friend uses for r. . Your friend uses a vector y; = 1 Find the coordinates of this point in the standard basis. . You are interested in the linear transformation 7: R3 -> R3 whose associated matrix is A = 09 2 3 In other words, T(x) = Ar for all x. Find Ag, the 3 x 3 matrix that your friend would use to describe this linear transformation

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