Suppose T : R3 R2 is a linear transformation such that T (1, 0, 0) = (4, 5), T (0, 1, 0)

Chapter 6, Problem 15

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Suppose T : R3 R2 is a linear transformation such that T (1, 0, 0) = (4, 5), T (0, 1, 0) = (1, 1), and T (2, 1, 3) = (7, 1). (a) Find the matrix of T . (b) Is T one-to-one, onto, both, or neither? Explain briefly

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