Reference no: EM13964748
Problem 1: Let U1 = (1, 1. 1)r , u2 = (2, 3, 4)r.
(a) Find the transition matrix corresponding to the change of basis from [e1, e2, e3] to [u1, u2, u3].
(b) Find the coordinates of each of the following vectors with respect to [u1, u2, u3].
Problem 2: Let = (4, 6, 7)r, v2 = (0, 1, 1)r, v3 = (0, 1, 2)r, and let u1, u2, u3 be the vectors.
(a) Find the transition matrix from [v1, v2, v3] to [u1, u2, u3].
(b) If x = 2v1 + 3v2 - 4v3, determine the coordinates of x with respect to [u1, u2, u3].
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