The matrix represents a system of equations. the 3 by 4 matrix, row 1, column 1, 1 column 2, 1 column 3, negative 2 column 4, 1 row 2, column 1, 2 column 2, negative 3 column 3, 1 column 4, negative 2 row 3, column 1, 2 column 2, 2 column 3, negative 4 column 4, 2 Which of the following describes the solution to this system of equations?

The third row is exactly twice the first row, including the constant term, so it does not add a new equation. The first two equations are not multiples of each other, leaving two independent equations for three variables; they have infinitely many solutions. This describes a dependent system, so the answer is dependent.

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