Suppose T: M₂,2→R¹ is a linear transformation whose action is defined by a+5b+3c+2d -a-5b-3c-2d a+5b+3c+2d -a-5b-3c-2d a b c d Give a basis for the kernel of T and the image of T by choosing which of the original vector spaces each is a subset of, and then giving a set of appropriate vectors

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