LetT: U V be a linear transformation. Let Tbe defined relative to bases { ui. u2} and

Chapter 5, Problem 7

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LetT: U V be a linear transformation. Let Tbe defined relative to bases { ui. u2} and {vi. v2, v3}ofUand Vas follows: T{u1) = 2v1 + V2 - 3V3, T{u2) = V1 - 2v2 + 3V3 Find the matrix of T with respect to these bases. Use this matrix to find the image of the vector u = 4u1 - 7u2.

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