Texas Instruments TITANIUM TI-89 User Manual

Page 747

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Activities

747

Exploring a 3x3 Matrix

Exploring a 3x3 Matrix

Exploring a 3x3 Matrix

Exploring a 3x3 Matrix

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^

L

1

in the last

three columns.

Note:

Use the cursor in the history area to

scroll the result.

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