Use row operations to reduce an augmented matrix to its reduced row-echelon form.

When a system of equations is presented:

• Identify its augmented matrix form
• Determine which row operation is used that transforms one matrix into another
• Determine which row operations are needed to transform the matrix to its reduced row-echelon form

• Augmented matrix
• Reduced row-echelon form
• Scalar multiplier

This lesson involves using row operations to reduce an augmented matrix to its reduced row-echelon form. As a result, students will:

• Enter the coefficients of a system into an augmented matrix.
• Choose the correct row operations that result in the reduced row-echelon form of the matrix.
• Translate the answer matrix into a solution of the system, algebraically.