Number of equations is less than number of unknowns then system has
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A system of m × n linear homogeneous equations with fewer equations than unknowns (m < n) has at least one free variable, hence an infinite number of solutions. Therefore, such a system always has the zero solution and also a nonzero solution.
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A system of m × n linear homogeneous equations with fewer equations than unknowns (m < n) has at least one free variable, hence an infinite number of solutions. Therefore, such a system always has the zero solution and also a nonzero solution.
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