HP 50g User Manual page 353

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