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TI

TI-89/TI-92 Plus/Voyage™ 200 Simultaneous Equation Solver

How To… …
Start the Application Enter Data Solve a Problem Store Values Navigate Change Format

Examples
3 Equations, 3 Unknowns Undefined Variable Overdetermined Matrix Underdetermined Matrix

More Information
Customer Support Error Messages

2/7/02

© 2001, 2002 Texas Instruments

Important Information
TexasInstruments makes no warranty, either expressed or implied, including but not limited to any implied warranties of merchantability and fitness for a particular purpose, regarding any programs or book materials and makes such materials available solely on an "as-is" basis. In no event shall Texas Instruments be liable to anyone for special, collateral, incidental, or consequential damages in connectionwith or arising out of the purchase or use of these materials, and the sole and exclusive liability of Texas Instruments, regardless of the form of action, shall not exceed any applicable purchase price of this item or material. Moreover, Texas Instruments shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party. Graphing product applications(Apps) are licensed. See the terms of the license agreement for this product.

Microsoft, Windows, Windows NT, Apple, Macintosh, Mac, and Mac OS are trademarks of their respective owners. TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 2

What Is Simultaneous Equation Solver?
Simultaneous Equation Solver finds solutions to systems of linear equations. It provides aconvenient, easy-to-use interface to simplify setting up a problem, solving it, and exploring the solution. You can: • • • • • • • Enter, load, and edit coefficient matrices and up to five vectors representing different right sides. Store the solution as a vector (an nx1 matrix). Display solutions as a list of values or in reduced row echelon form (RREF). Solve over-determined systems of equations(systems in which there are more equations than unknowns). Solve under-determined systems of equations (systems in which there are fewer equations than unknowns). Solve systems containing both numeric and symbolic coefficients. Identify whether a given system has a unique solution, an infinite number of solutions, or no solution.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous EquationSolver App

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Entering Data
Entering data manually 1. Start Simultaneous Equation Solver and select New.

2. Enter the number of equations and press D. Values entered in this dialog box must be integers from 2 to 30. 3. Enter the number of unknowns. 4. Press ¸ ¸ to accept the problem size and display the matrix. The first coefficient is selected, and its matrix row and column designatorsare displayed on the entry line.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App

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5. Enter the first coefficient and press ¸. The cursor returns to the matrix and moves to the next column (right). You can change the cursor to move to the next row (down) instead in the FORMATS dialog box. You can enter a real or complex value or an expression that resolves to areal or complex value. You can also enter symbolic data.

Loading existing data You can load an existing matrix as all or part of the problem from within Simultaneous Equation Solver by using either of the following methods. • • Press ƒ 1:Load Augmented A|b. Press „ 1:Augmented A|b, 2:Coefficient A, 3:Constant b, or 4:Two Matrices A and b.

TI-89 / TI-92 Plus / Voyage™ 200 PLT SimultaneousEquation Solver App

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Editing coefficients 1. Move the cursor to a coefficient and press ¸. The cursor moves to the entry line. 2. Edit the value and press ¸. The new value appears in the matrix. Clearing coefficients Press ƒ 8:Clear All. Starting a new problem Press ƒ 3:New Problem.

TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App

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Solving
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