Let B = {v1, v2, v3, v4} be a basis for a vector space V, and let T : V V be the linear
Chapter 8, Problem 7(choose chapter or problem)
Let B = {v1, v2, v3, v4} be a basis for a vector space V, and let T : V V be the linear operator for which T(v1) = v1 + v2 + v3 + 3v4 T(v2) = v1 v2 + 2v3 + 2v4 T(v3) = 2v1 4v2 + 5v3 + 3v4 T(v4) = 2v1 + 6v2 6v3 2v4 (a) Find the rank and nullity of T . (b) Determine whether T is one-to-one.
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