Solution 11959: Finding the Reduced Row Echelon Form of a Matrix on the TI-83 Family, TI-84 Plus Family, or TI-Nspire™ Handheld in TI-84 Plus Mode.
How do I find the reduced row echelon form of a matrix on a TI-83 family, TI-84 Plus family, or TI-Nspire handheld in TI-84 Plus mode?
To find the reduced row echelon form of a matrix, input the matrix, exit the matrix editor, and then paste the rref() function on the home screen with the name of the matrix. The example below will demonstrate this procedure.
Please Note: To access the Matrix menu on the TI-83 press the [MATRX] key.
Example: Find the rref() of matrix A
To enter the matrix:• Press [2nd] [MATRIX]
• Scroll to Edit
• Press  to access matrix A and press [ENTER]
• Input the dimensions  [ENTER]  [ENTER]
• Input the matrix entries, pressing enter after each entry
• Exit the matrix editor by selecting [2nd] [QUIT]
To find the reduced row echelon form using the rref( function:
• Press [2nd] [MATRIX]
• Scroll to MATH
• Press [ALPHA] [B] [2nd] [MATRIX]  [)]
Please see the TI-83 family and TI-84 Plus family guidebooks for additional information.
Please Note:: TI-Nspire users may refer to the TI-84 Plus family guidebook.