Question: QUESTION 2 [22] Consider the linear operator T on 2 defined by T(x, y) = (5x + 2y, 3x - 2y) and the following bases

QUESTION 2 [22]

Consider the linear operator T on 2 defined by T(x, y) = (5x + 2y, 3x - 2y) and the following bases of 2.

={v1,v2} where v1=(1,2),v2=(2,3) and S={u1,u2} where u1=(1,3) u2=(1,4)

2.1. Find the matrix A representing T relative to the basis . [12]

2.2. Find the change of basis matrix PS from to S. [10]

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