TI-83 Resource Website


(Reduced Row Echelon Form)

The RREF (reduced row echelon form) is a very effective way for solving a system of equations using matrices. 

NOTE: Please enter the matrices before proceeding with this example.  If you are not sure how to enter matrices, complete the Entering a Matrix module. 

Example: Use RREF to solve a system of equations that can be represented by the following matrix:

Note that the first column of the matrix has the coefficients of x, the second column has the coefficients of y, and the last column has the constants.

Step 1: Press MATRX.

On the TI-83, the MATRX button is one down and to the right from the green ALPHA button

On the TI-83 Plus/84, press the 2nd button, then MATRX (above the X-1 key)

Using the right arrow, go to the MATH menu.  Use the down arrow button to select "B:rref( ".

Step 2: Press ENTER.  "rref(" will appear on the home screen.

Step 3: Press MATRIX again.  Select the matrix by using the down arrows and highlighting the matrix you want.  In this example, Matrix A is selected (1: is highlighted).

Step 4: Press ENTER.  "rref([A])" will appear on the home screen.

Step 5: Press ENTER.  The resulting matrix will appear on the right side of the screen.  The solution of the system is displayed in the right hand side column.  For this example, x = 3 and y = -1.


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This site was last updated 10/07/05 and is maintained by Donna L. Sperry