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Determine all possibilities for the solution set of a homogeneous system that has y1 = 5, y2 = −3, y3 = 2 as a solution.

Determine all possibilities for the solution set of a homogeneous system that has y1 = 5, y2 = −3, y3 = 2 as a solution. Correct Answer infinitely many

The possibilities for the solution set for any homogeneous system is either a unique solution or infinitely many solutions. Since the homogeneous system has the zero solution and y1 = 5, y2 = −3, y3 = 2 is another solution, it has at least two distinct solution. Thus the only possibility is infinitely many solutions.

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