Find the least-squares solution x → * of the system A x → = b → , where A = [ 1 0 0 1 0 0 ] and b → = [ 1 1 1 ] . Use paper and pencil. Draw a sketch showing the vector b → , the image of A. the vector A x → * , and the vector b → − A x → * .
Find the least-squares solution x → * of the system A x → = b → , where A = [ 1 0 0 1 0 0 ] and b → = [ 1 1 1 ] . Use paper and pencil. Draw a sketch showing the vector b → , the image of A. the vector A x → * , and the vector b → − A x → * .
Solution Summary: The author explains the least square solutions stackrelto x of the given system and to sketch the vectors.
Find the least-squares solution
x
→
*
of the system
A
x
→
=
b
→
, where
A
=
[
1
0
0
1
0
0
]
and
b
→
=
[
1
1
1
]
. Use paper and pencil. Draw a sketch showing the vector
b
→
, the image of A. the vector
A
x
→
*
, and the vector
b
→
−
A
x
→
*
.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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