Suppose A is a 5 by 5 matrix and the reduced echelon form of A is U. Decide whether each of the following statements is true. Statement 1: A and U must have the same rank. Statement 2: If v is an eigenvector of A with eigenvalue 0 then v must also be an eigenvector of U with eigenvalue 0. Select one alternative Statement 1 is false and statement 2 is true Statement 1 is false and statement 2 is false Statement 1 is true and statement 2 is true Statement 1 is true and statement 2 is false

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