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

Question

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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