Suppose that {v1, v2, v3} is a basis of R. Let T: R R be a...

 

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Suppose that {v1, v2, v3} is a basis of R. Let T: R R be a linear transformation. Show that there are constants a, b, c ER such that: T(xv1+yv2+zv3) = ax + by + cz Suppose that {v1, v2, v3} is a basis of R. Let T: R R be a linear transformation. Show that there are constants a, b, c ER such that: T(xv1+yv2+zv3) = ax + by + cz