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TI
2/7/02
TI-89/TI-92 Plus/Voyage™ 200
Simultaneous Equation Solver
How To... ... ... ...
Start the Application
Enter Data
Solve a Problem
Examples
3 Equations, 3 Unknowns
Undefined Variable
More Information
Customer Support
Store Values
Navigate
Change Format
Overdetermined Matrix
Underdetermined Matrix
Error Messages
© 2001, 2002 Texas Instruments
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Table of Contents
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Summary of Contents for Texas Instruments TI-89
- Page 1 How To… … … … Start the Application Store Values Enter Data Navigate Solve a Problem Change Format Examples 3 Equations, 3 Unknowns Overdetermined Matrix Undefined Variable Underdetermined Matrix More Information Customer Support Error Messages 2/7/02 © 2001, 2002 Texas Instruments...
- Page 2 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...
- Page 3 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 Equation Solver App Page 3...
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Page 4: Entering Data
4. Press ¸ ¸ to accept the problem size and display the matrix. The first coefficient is selected, and its matrix row and column designators are displayed on the entry line. TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 4... - Page 5 Simultaneous Equation Solver by using either of the following methods. • Press ƒ 1:Load Augmented A|b • Press „ , or 1:Augmented A|b 2:Coefficient A 3:Constant b 4:Two Matrices A and b TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 5...
- Page 6 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 Page 6...
- Page 7 Displayed as RREF Displayed as list If Angle Format is Degree and Complex Format is Polar, computations are automatically performed numerically. TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 7...
- Page 8 • An individual element of a solution. • The RREF matrix. • The residual vector, provided has been set Show Residuals in the dialog box FORMATS TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 8...
- Page 9 To store individual coefficients or roots from the Coefficients or Solution screen: 1. Place the cursor on the value you want to store. 2. Press §. 3. Enter a variable name, and then press ¸. TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 9...
- Page 10 2 A, 2 B, 2 C, or 2 D in the matrix moves the cursor one page. • Use the 2 ˆ (TI-89) or ˆ menu to insert a column or row, delete a column or row, or resize the matrix. TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App...
- Page 11 2 ‰ (TI-89) or ‰ menu. • … 1:Augmented A b stores only the current b. To store additional right sides separately, use the … 3:Constant b command. TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 11...
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Page 12: Format Settings
If , the solution is displayed in list form. If , the solution is displayed in RREF form. The default is No. TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 12... - Page 13 Tolerance: Default 5E-14¦max(dim(Augmented matrix)) ¦rownorm(Augmented matrix). enables the field, where you can enter a User-Defined Tolerance preferred tolerance level. TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 13...
- Page 14 5. Press ‡ to solve the problem. The busy indicator on the status line displays while the solution is calculated. The values for x , and x are displayed: = 72à481 = M547à481 = 670à481 TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 14...
- Page 15 The busy indicator on the status line displays while the solution is calculated. The values for x , and x are displayed: = 26à(5…(5…unkN7))+3/5 = M104à(5…(5…unkN7)) N7à5 = M26à(5…unkN7) TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 15...
- Page 16 6. Press 3 „ and set Exact/Approx to Approximate The solution is automatically recalculated and expressed as: = 1.04à(unkN1.4)+.6 = M4.16à(unkN1.4) N1.4 = M5.2à(unkN1.4) TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 16...
- Page 17 5. Press ‡ to solve the problem. The busy indicator on the status line displays while the solution is calculated. The display shows No solution found TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 17...
- Page 18 6. Press ‡ again to view the RREF matrix. TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 18...
- Page 19 4. Enter the coefficients: 5. Press ‡ to solve the problem. The busy indicator on the status line displays while the solution is calculated. TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 19...
- Page 20 The display shows two arbitrary constants ( ) and an infinite number of solutions expressed in terms of those constants: = L307…@1à32N155…@2à16+15 = L37…@1à32N29…@2à16+3 = 395…@1à32+211…@2à16N20 = @1 = @2 TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 20...
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Page 21: Errors, Error Messages, And Restrictions
When using a variable as input, verify that it is not a list, matrix, or other non-scalar expression. Choose a different variable that is scalar. TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 21... - Page 22 Tolerance value must be a User-defined tolerance in the FORMATS nonnegative real number. dialog box must be zero or a positive real number. TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 22...
- Page 23 Installing Simultaneous Equation Solver Detailed Flash application installation instructions are available from education.ti.com/guides. You will need: • A TI-89 / TI-92 Plus / Voyage™ 200 PLT with the latest Advanced Mathematics Software Operating System. Download a free copy from education.ti.com/softwareupdates. •...
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Page 24: Starting And Quitting The Application
Open A|b matrix to use. • creates a problem. Quitting Simultaneous Equation Solver Press 2 K from any screen. TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 24... -
Page 25: Deleting An Application
Quit the application. 2. Press 2 ° to display the screen. VAR-LINK [ALL] 3. Press 2 ‰ (TI-89) or ‰ to display the list of installed applications. 4. Select the application you want to delete. 5. Press ƒ . The... -
Page 26: Texas Instruments (Ti) Support And Service Information
Always contact TI Customer Support before Virgin Islands: returning a product for service. Refer to the leaflet enclosed with your All other customers: product (hardware) or contact your local TI retailer/distributor. TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 26... -
Page 27: Texas Instruments License Agreement
TEXAS INSTRUMENTS LICENSE AGREEMENT BY INSTALLING THIS SOFTWARE YOU AGREE TO ABIDE BY THE FOLLOWING PROVISIONS. LICENSE: Texas Instruments Incorporated (“TI”) grants you a license to use and copy the software program(s) (“License Materials”) contained on this diskette/CD/web site. You, and any subsequent user, may only use the Licensed Materials on Texas Instruments calculator products. - Page 28 Starting and Quitting the Application ..............24 Deleting an Application ..................25 Texas Instruments (TI) Support and Service Information........26 TEXAS INSTRUMENTS LICENSE AGREEMENT ..........27 TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 28...
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