Question: 2 4 2 1 Let T: R2>[R2 be a linear transformation that maps u = into and maps v = into . Use the fact

2 4 2 1 Let T: R2>[R2 be a linear transformation that maps u = into and maps v = into . Use the fact that 5 1 2 2 T is linear to find the images under T of 3u, 2v, and 3u + 2v. The image of 3u is If T is defined by T(x) = Ax, find a vector 3: whose image under T is b, and determine whether x is unique. Let 1 7 23 4 A = and b = . 2 7 18 1 Find a single vector x whose image under T is b. x

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