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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 a convenient, 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. [. . . ] † returns to the Coefficients screen from the Solution screen. A, B, C, or D moves among the coefficients for editing. 2 A or 2 B on the entry line moves the cursor to the beginning or end of the value. ¤ A or ¤ B on the entry line highlights characters for copying. ¥ A, ¥ B, ¥ C, or ¥ D moves the cursor to the beginning or end of the row or column. 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.
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TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App
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If the Split Screen mode is set to Top-Bottom when the application is started, the TI-89 automatically switches to Full; the TI-92 Plus / Voyage™ 200 PLT automatically places the application in the top portion. To see the solution displayed in RREF, press ‡ from the Solution screen. If another application is running, 2 a toggles between the applications.
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Right sides • • • To enter additional right sides (b 2 through b 5), use the cursor to move to those cells. To select a different right side to use in a calculation, use the 2 ‰ (TI-89) or ‰ menu. … 1:Augmented Ab stores only the current b. The values for x1, x2, and x3 are displayed:
x 1 = 26à(5…(5…unkN7))+3/5 x 2 = M104à(5…(5…unkN7)) N7à5 x 3 = M26à(5…unkN7)
TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App
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6. Press 3 „ and set Exact/Approx to Approximate. The solution is automatically recalculated and expressed as:
x 1 = 1. 04à(unkN1. 4)+. 6 x 2 = M4. 16à(unkN1. 4) N1. 4 x 3 = M5. 2à(unkN1. 4)
TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App
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Example — Overdetermined Matrix
1. Press 3 „ and set Exact/Approx to Exact. Start Simultaneous Equation Solver and select New. Press 5 D 3 ¸ ¸ for a problem with five equations and three unknowns. Enter the coefficients: a 1, 1 = 9 a 1, 2 = M6 a 1, 3 = 2 b1 1 = 6 a 2, 1 = M9 a 2, 2 = 9 a 2, 3 = M4 b1 2 = M1 a 3, 1 = M9 a 3, 2 = 4 a 3, 3 = M9 b1 3 = M7 a 4, 1 = M4 a 4, 2 = M4 a 4, 3 = 9 b1 4 = 7 a 5, 1 = 1 a 5, 2 = M9 a 5, 3 = M7 b1 5 = 8 5. 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
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6. Press ‡ again to view the RREF matrix.
TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App
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Example — Underdetermined Matrix
1. Press 3 „ and set Exact/Approx to Exact. [. . . ] You may not sell, rent, or lease copies that you make. COPYRIGHT: The Licensed Materials and any accompanying documentation are copyrighted. If you make copies, do not delete the copyright notice, trademark, or protective notices from the copies. WARRANTY: TI does not warrant that the Licensed Materials or documentation will be free from errors or that they will meet your specific requirements. [. . . ]
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