Question: 4. Let 1 2 3 1 O O A = 0 45 , B- 2 3 0 and v - CO 00 0 0 6

4. Let 1 2 3 1 O O A = 0 45 , B- 2 3 0 and v - CO 00 0 0 6 4 5 6 Let also A be the ordered basis of R3 whose elements are the columns of A, and similarly for B. Define a function T: R3 -> R3 as follows. For each x E R3, if y is the vector in R3 satisfying [y]A = x, then T(x) = [y]B. (a) Explain why such T is well-defined. (b) Find T(v). (c) Is T a linear transformation? (d) Describe the mathematical meaning of T

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