If T: R-R^4 is a linear transformation defined by T(1, 0, 0, 0) = (1, 1, 1), T(0, 1, 0, 0) = (1, -1, 1), T(0, 0, 1, 0) = (1, 0, 0) and T(0, 0, 0, 1) = (1, 0, 1), then verify that Rank T+ Nullity T = dim R¹.
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