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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