a system of linear equations containing the same number of equations as variables always has a unique solution.

Name: a system of linear equations containing the same number of equations as variables always has a unique solution.
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Quizplus · Accepted Answer

A system of linear equations with the same number of equations as variables may have no solution, a unique solution, or infinitely many solutions, depending on the determinant of the coefficient matrix and the consistency of the system.

A System of Linear Equations Containing the Same Number of Equations