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Tool: Simultaneous Equation Solver App
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Description: Calculate solutions (unique, representation of the infinite solutions, or no solution) for linear systems up to 30x30. In addition, students can: enter symbolic data; save and edit up to five constant vectors; view residuals and reduced row echelon form (RREF); save coefficients and solutions for later use.

For step-by-step instructions on how to download and use TI apps in general, visit this page on the TI site:
Latest OS & Apps: Apps Overview

Available on these handhelds:
TI-89 Titanium
TI-92 Plus
Voyage(tm) 200

Technology Type: TI-89 
Guide: User's Guide (opens a new window)
Author: Texas Instruments
Language: English 
Cost: Does not require payment for use

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Courses: Algebra Linear Systems
Algebra II Solving systems of equations
PreCalculus solving systems of linear equations
Discrete Math Matrix Reps. of Graphs

Comment:A little confusing, but what calculator program isn't? Works great.