Let A be an mxn matrix. Consider the following statements: 1. The set of solutions of the system of linear equations Ax = 0 is a subspace of IR". 2. The set of solutions of the system of linear equations Ax = 0 is a subspace of IR". 3. The set of solutions of the system of linear equations Ax = b, b+ 0, is a subspace of IR". 4. If u, v E R" are solutions of the system of linear equations Ax = 0, then so is u + v. 5. If u E R" is a solution of the system of linear equations Ax = b, b # 0, then au is also a solution. Which of the following is true? A. Statements 1 and 5 are true. B. Statements 2 and 3 are true. C. Statements 4 and 5 are true. D. Statements 1 and 2 are true. E. Statements 1 and 4 are true.

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