TI-83 55
(Do not use choice A, ref(, which is similar in appearance.) Select choice B by highlighting it
and pressing ENTER (or by pressing ALPHA B). The rref( command should now appear on the
Home screen. You need to tell the calculator which matrix to act upon with this command, so
press MATRX and press 1 or ENTER to select the
matrix A. Type a close parenthesis after
the matrix letter so that the Home screen displays rref([A]). Press ENTER to execute the
command. The calculator should display the reduced row echelon form of the matrix as shown
below.
This matrix indicates a system of equations equivalent to the original system and of the form
10
−=+
yx
or
1
−=
y
Thus, the solution of the system is
1
x
, 1
y , or in ordered pair form (1,−1).
page 338
29 Evaluate Y
The TI-83 interprets function notation. Just as for a function xxxR −=
2
4)( the value of the
function when x = −1 can be denoted )1(
R , with the TI-83 the value of Y1 when x = −1 can be
denoted Y1(−1). In the Y= screen enter as Y1 the equation xxy −=
2
4 . Then press 2nd [QUIT] to
return to the Home screen. Press VARS and use the arrow keys to highlight the Y-VARS menu
heading at the top of the screen. In the Y-VARS menu press ENTER to choose the Function... menu.
Choose Y1 from this menu by pressing ENTER. The calculator returns to the Home screen, and the
variable Y1 will be displayed on the screen. Now type the number −1 in parentheses so that the
expression Y1(-1)is displayed on screen. Press ENTER to see 5, the value of Y1 when x is −1.
To find the value of Y1 when x = 3, press 2nd [ENTRY] to reproduce a copy of Y1(-1), move the
cursor over the -, type a 3, and then press DEL so that the expression reads Y1(3). Press ENTER
to get the value 33. See also 21 Evaluate Y and 22 Table.
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