Using a TI Graphing Calculator to Find the Reduced Row Echelon Form of a Matrix, Study Guides, Projects, Research of Economics

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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2021/2022

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Reduced Row Echelon Form on a TI Graphing Calculator
In this example, we want to utilize your graphing calculator to solve the system
425 11
2
232 14
x
yz
xyz
xyz



Start by converting this system to an augmented matrix,
42511
111 2
23 2 14

Your calculator can put a matrix into reduced row echelon form using the rref
command.
pf3
pf4
pf5

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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

MATRIX

menu.

  1. Use

to go to

EDIT

  1. Press

À

or move the cursor to

1: [A]

and press

Í

. Note that if you used this matrix name before, it

will have a dimension next to it.

  1. Enter the dimension of matrix

A

as 3 x 4.

  1. Enter the values into the matrix as shown. Press

Í

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.

  1. Press

y

z

to

QUIT

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

MATRIX

menu.

Use

to go to

MATH

Use

to select

B: rref(.

Press

Í

. This puts

rref(

on the home screen.

To enter the name of the matrix you wish to use in theparentheses, press

to access the

MATRIX

menu.

Press

À

or highlight

1: [A]

and press

Í

. 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

ERR: DATA TYPE

message.

Reduced Row Echelon Form on a TI Graphing Calculator15.

Press

Í

to calculate the reduced row echelon

form of the augmented matrix.