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1. Consider the linear transformation T: R3 R3 given by 21-22-2x3 T 3x2+6x3 3x12x2 4x3 (a) Find a basis for the subspace that consists

1. Consider the linear transformation T: R3 R3 given by 21-22-2x3 T 3x2+6x3 3x12x2 4x3 (a) Find a basis for the subspace that consists of all ER such that T() = 0. Is T injective? (b) Find a basis for the image of T. Is T surjective?

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