TI-82 25
ENTER (or just press ENTER if the column dimension is already 1), so that the display appears as
on the left below. Enter the numbers into the matrix as before until the display appears as on the
right below.
Now that the matrices have been entered, press 2nd [QUIT] to return to the Home screen. If you
would like to see matrix A displayed on the Home screen, press MATRX, and with the NAMES
menu highlighted at the top of the screen, press ENTER or 1. The character [A] will be displayed
on the Home screen. Press ENTER to have the calculator display matrix A as shown on the left
below. Press MATRX 2 to display the character [B] on the Home screen. Press ENTER to see
matrix B as shown on the right below. Although you don’t really have to display these matrices
before solving the system of equations, it isn’t a bad idea to look at them on the Home screen just
to be sure that you have entered the numbers correctly. If you notice a mistake, you can still go
back and make corrections at the matrix editing screen. After selecting the matrix you want, use
the arrow keys to go to the part that needs to be corrected and type and enter the corrections.
To solve the system we need to find the matrix product
1−
, where
1
−
denotes the inverse
of matrix A. (You don’t have to worry about what that inverse is.) On the Home screen this
matrix product will appear as [A]
-1
[B]. To produce this expression on screen, press MATRX 1
to produce the [A]. Then press the
1−
x key to produce the exponent
. (Do not use ^-1
instead.) Finally, press MATRX 2 to produce the [B]. With the screen displaying [A]
-1
[B],
press ENTER to display a
matrix showing, from top to bottom, the values for x and y,
respectively, which form the solution of the system of equations.