Exploring a matrix, Exploring a 3x3 matrix – Texas Instruments PLUS TI-89 User Manual

Page 405

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388 Chapter 23: Activities

23ACTS.DOC TI-89/TI-92 Plus: Activities (English) Susan Gullord Revised: 02/23/01 1:24 PM Printed: 02/23/01 2:20 PM Page 388 of 26

Perform these steps to generate a random matrix, augment and find
the identity matrix, and then solve to find an invalid value of the
inverse.

1. On the Home screen, use

RandSeed

to set the random

number generator seed to the
factory default, and then use

randMat()

to create a random

3x3 matrix and store it in

a

.

2. Replace

the

[2,3]

element of the

matrix with the variable

x

, and

then use the

augment()

function, to augment the 3x3
identity to

a

and store the

result in

b

.

3. Use

rref()

to “row reduce”

matrix

b

:

The result will have the
identity matrix in the first
three columns and

a^

ë

1

in the

last three columns.

4. Solve for the value of

x

that

will cause the inverse of the
matrix to be invalid.

Enter:

solve(getDenom(

2 ±

[1,4] )=0,x)

Result:

x=

ë

70/17

Exploring a Matrix

This activity shows you how to perform several matrix
operations.

Exploring a 3x3
Matrix

Tip: Use the cursor in the
history area to scroll the
result.

Tip: Use the cursor in the
history area to scroll the
result.

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