Linear equation minimization problem

Hello,

I have the folowing matrix:

A=[1 1 1

1 1 0

1 0 0

0 1 1

0 0 1];

I need to find a vector b [ x1,x2,x3,x4,x5],

such that the answer will be as close to [4,6,7] (minimization of error between the answer and the achieved goal).

Is there any convient way to do it in matlab?

Answer 1

[Alan Stevens]

Like so:

>> A=[1 1 1
     1 1 0
     1 0 0
     0 1 1
     0 0 1]
>> V = [4 6 7]

A =

     1     1     1
     1     1     0
     1     0     0
     0     1     1
     0     0     1


V =

     4     6     7

>> R = V/A

R =

    5.0000   -1.0000         0    2.0000         0

>> R*A

ans =

    4.0000    6.0000    7.0000