A dependent system is a system of linear equations in which all equations represent the same line, resulting in infinitely many solutions. This occurs when the equations are scalar multiples of one another.
5 Must Know Facts For Your Next Test
When graphed, the lines in a dependent system overlap completely.
A dependent system has infinitely many solutions because any point on the line satisfies all equations.
The determinant of the coefficient matrix for a dependent system is zero.
In reduced row-echelon form, a dependent system will have at least one row of all zeros.
A consistent and dependent system implies that there is no unique solution.