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Step-by-step instructions on how to use a TI Graphing Calculator to find the reduced row echelon form of a given matrix. converting the system to an augmented matrix, entering the matrix into the calculator, and calculating the reduced row echelon form using the rref command.
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Reduced Row Echelon Form on a TI Graphing CalculatorIn this example, we want to utilize your graphing calculator to solve the system
x^
y^
z
x^
y^
z
x^
y^
z
Start by converting this system to an augmented matrix,
Your calculator can put a matrix into reduced row echelon form using the rrefcommand.
Reduced Row Echelon Form on a TI Graphing Calculator Enter the Matrix 1. Press
y
to access the
menu.
to go to
or move the cursor to
and press
. Note that if you used this matrix name before, it
will have a dimension next to it.
as 3 x 4.
after each entry. Note that the position is given at thebottom of the screen as
etc. This matrix will
need two screens. Use
to see last column and to
enter.
y
z
to
and return to the home screen.
Reduced Row Echelon Form on a TI Graphing Calculator Find the reduced row-echelon form of the matrix 10.
Press
y
to access the
menu.
Use
to go to
Use
to select
B: rref(.
Press
. This puts
rref(
on the home screen.
To enter the name of the matrix you wish to use in theparentheses, press
yœ
to access the
menu.
Press
or highlight
and press
. This
will paste the name of the matrix we entered above,[A], into the
rref (
command on the home screen. If
you enter the name of the matrix any other way, youwill get an
message.
Reduced Row Echelon Form on a TI Graphing Calculator15.
Press
to calculate the reduced row echelon
form of the augmented matrix.