10–2 Matrices
82EA17~1.DOC TI-83 international English Bob Fedorisko Revised: 10/26/05 1:31 PM Printed: 10/27/05 2:47
PM Page 2 of 16
Getting Started is a fast-paced introduction. Read the chapter for details.
Find the solution of X + 2Y + 3Z = 3 and 2X + 3Y + 4Z = 3. On the TI-82 STATS,
you can solve a system of linear equations by entering the coefficients as elements in
a matrix, and then using
rref( to obtain the reduced row-echelon form.
1. Press . Press ~ ~ to display the
MATRX EDIT menu. Press 1 to select 1: [A]¸
2. Press
2 Í 4 Í to define a 2×4 matrix.
The rectangular cursor indicates the current
element. Ellipses (
...) indicate additional
columns beyond the screen.
3. Press 1 Í to enter the first element. The
rectangular cursor moves to the second column
of the first row.
4. Press 2 Í 3 Í 3 Í to complete
the first row for X + 2Y + 3Z = 3.
5. Press
2 Í 3 Í 4 Í 3 Í to
enter the second row for 2X + 3Y + 4Z = 3.
6. Press y [QUIT] to return to the home screen.
If necessary, press ‘ to clear the home
screen. Press ~ to display the
MATRX
MATH
menu. Press } to wrap to the end of the
menu. Select
B:rref( to copy rref( to the home
screen.
7. Press 1 to select 1: [A] from the
MATRX NAMES menu. Press ¤ Í. The
reduced row-echelon form of the matrix is
displayed and stored in
Ans.
1X N 1Z = L3soX =L3+Z
1Y + 2Z = 3 so Y = 3 N 2Z
Getting Started: Systems of Linear Equations
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