Define the linear transformation T by T() = Az. Use the fact that matrices A and B are row equivalent. A = 0] 0 1 2 1 2 5 1 3 7 2 49 3-1 0 1 2-2 5 B = 10 01 0 0 00 3 0 -1 0 2 01-2 00 0 (a) Find a basis for ker(T). (b) Find a basis for range(T). (c) Find rank (T) and nullity (T) and determine whether T is one-to-one, onto, or neither. Justify your answer.

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