T: R2 †’ R2 is the rotation about the origin through 45°; B and B€² are the bases in Exercise 1.
Find the matrix of T with respect to the basis B, and use Theorem 8.5.2 to compute the matrix of T with respect to the basis B€².
Exercise 1
T: R2 †’ R2 is defined by

B= {u1, u2} and B€² = {v1, v2}, where

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X1 A2 4 1 0 2 10