Every homogeneous linear system has at least one solution.

Name: Every homogeneous linear system has at least one solution.
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Quizplus · Accepted Answer

This statement is true by definition. A homogeneous linear system is defined as having a zero vector in the constant term of the equations, which means that the vector of all zeros is always a solution. Therefore, every homogeneous linear system has at least one solution.

Every Homogeneous Linear System Has at Least One Solution