HP 50g Graphing Calculator User Manual
Page 353

Page 11-26
Under-determined system
Consider the system
2x
1
+ 3x
2
–5x
3
= -10,
x
1
– 3x
2
+ 8x
3
= 85,
with
The solution using LSQ is shown next:
Over-determined system
Consider the system
x
1
+ 3x
2
= 15,
2x
1
– 5x
2
= 5,
-x
1
+ x
2
= 22,
with
The solution using LSQ is shown next:
.
85
10
,
,
8
3
1
5
3
2
3
2
1
⎥
⎦
⎤
⎢
⎣
⎡−
=
⎥
⎥
⎥
⎦
⎤
⎢
⎢
⎢
⎣
⎡
=
⎥
⎦
⎤
⎢
⎣
⎡
−
−
=
b
x
A
and
x
x
x
.
22
5
15
,
,
1
1
5
2
3
1
2
1
⎥
⎥
⎥
⎦
⎤
⎢
⎢
⎢
⎣
⎡
=
⎥
⎦
⎤
⎢
⎣
⎡
=
⎥
⎥
⎥
⎦
⎤
⎢
⎢
⎢
⎣
⎡
−
−
=
b
x
A
and
x
x
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