Texas instruments TI-92 PLUS, VOYAGE 200 Simultaneous Equation Solver
TI
TI-89/TI-92 Plus/Voyage™ 200
Simultaneous Equation Solver
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
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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.
• 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 Equation Solver App Page 3
Entering Data
Entering data manually
1. Start
2. Enter the number of equations and press D. Values entered
3. Enter the number of unknowns.
4. Press ¸ ¸ to accept the problem size and display
Simultaneous Equation Solver and select New.
in this dialog box must be integers from 2 to 30.
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
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 a real 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
• Press „
4:Two Matrices A and b.
TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 5
1:Load Augmented A|b.
1:Augmented A|b, 2:Coeffi cien t A, 3:Constant b, or
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
TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 6
3:New Problem.
Solving
1. Enter values for the coefficient matrix and values for the right
side. You can enter b
right side
.
2. Press ‡ to solve the problem. The busy indicator on the
status line displays while the solution is calculated. The
solution values x
1
Exact/Approx mode. The RREF
be shown instead.
. . . b5and then select a different
1
. . . xnare displayed in the specified
of the augmented matrix can
Displayed as list
Displayed as RREF
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
Storing
Once you have entered the coefficients, you can store:
• The augmented matrix (coefficients and the current right
side).
• The coefficient matrix.
• Constant vectors b
. . . b5.
1
• An individual element of a coefficient matrix or constant
vectors.
Once you have calculated the solution, you can also store:
• The solution as a vector (an nx1 matrix).
• An individual element of a solution.
• The RREF matrix.
• The residual vector, provided
to
YES in the FORMATS dialog box.
TI-89 / TI-92 Plus / Voyage™ 200 PLT Simultaneous Equation Solver App Page 8
Show Residuals has been set
From either the Coefficients screen or Solution screen, press …
and select
•
1:Augmented A|b, select a folder, and enter a name. You
can also do this from ƒ.
•
2:Coefficient A, select a folder, and enter a matrix name.
•
3:Constant b, select a folder, enter a name and indicate
which right side contents (vectors b
. . . b5) you want to
1
store. The values are stored as a vector (an nx1 matrix).
•
4:Solution x, select a folder, and enter a name. The
values are stored as a vector (an nx1 matrix).
•
5:RREF Matrix, select a folder, and enter a name.
•
6:Residuals, select a folder, and enter a name. The
values are stored as a vector (an nx1 matrix).
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
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