Question: Linear Help 1. For each of the following linear transformations, determine whether the transformation is (1) one-to-one, (2) onto (i.e., whether it maps the domain

Linear Help

1. For each of the following linear transformations, determine whether the transformation is (1) one-to-one, (2) onto (i.e., whether it maps the domain onto the codomain). Show your (8 points work. Explain your answer. 5 N X 1 4 14 2 2 (a) T : R3 -> R3 defined by T J 2 5 C3 x1 + 302 - 2103 (b) T : R3 -> R3 defined by T 2 2 = 2x1 + 8202 + 23 2 3 -1 - 4x2 + 3x3 2 1 x1 + 3x2 - 5x3 (c) T : R3 - R2 defined by T 2 1 - 272 - 23 3 2 1 20 2 (d) T : R3 - R4 defined by T NN 3

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