Which elementary row operation always preserves the solution set of a system of linear equations?
Correct answer: B. Interchanging two equations
- A. Multiplying a row by zero
- B. Interchanging two equations
- C. Deleting a nonzero row
- D. Changing one coefficient only
Explanation
Interchanging two rows only changes the order of the equations, not their mathematical content. Multiplying by zero or changing or deleting entries can alter the system.
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