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HP 50g Graphing Calculator User Manual

Page 364

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Page 11-37

Having filled up with zeros the elements of column 1 below the pivot, now we
proceed to check the pivot at position (2,2). We find that the number 3 in
position (2,3) will be a better pivot, thus, we exchange columns 2 and 3 by
using: 2#3 ‚N

@@@OK@@

Checking the pivot at position (2,2), we now find that the value of 25/8, at
position (3,2), is larger than 3. Thus, we exchange rows 2 and 3 by using:
2#3 L@RSWP

Now, we are ready to divide row 2 by the pivot 25/8, by using
³ 8/25™#2 L @RCI

Next, we eliminate the 3 from position (3,2) by using:
3\#2#3@RCIJ

Having filled with zeroes the position below the pivot, we proceed to check the
pivot at position (3,3). The current value of 2 is larger than ½ or 0, thus, we
keep it unchanged. We do divide the whole third row by 2 to convert the pivot
to 1, by using: 2Y3

@RCI

Next, we proceed to eliminate the ½ in position (1,3) by using:

1

-1/16

1/2 41/16

0

1 0

0

3

2

-1

1

0 0

0

25/8

0

-25/8

0

0 1

1

-1/16

1/2 41/16

0

1

0

0

25/8

0

-25/8

0

0

1

0

3

2

-1

1

0

0

1

-1/16 1/2

41/16

0 1 0

0

1

0

-1

0 0 1

0

3

2

-1

1 0 0

1

-1/16 1/2

41/16

0 1

0

0

1

0

-1

0 0

1

0

0

2

2

1 0

0

1

-1/16 1/2

41/16

0 1 0

0

1

0

-1

0 0 1

0

0

1

1

1 0 0