finding the unknowns in a matrix

B =

1.0e+06 *

0.6064 -0.4550 0.0776 -0.6532 0.4550 0.0126

-0.4550 1.6724 0.0180 0.4550 -0.3209 0.0180

0.0776 0.0180 0.3626 -0.0126 -0.0180 0.0569

-0.6532 0.4550 -0.0126 1.0029 -0.4550 0.5070

0.4550 -0.3209 -0.0180 -0.4550 4.4121 -0.0180

0.0126 0.0180 0.0569 0.5070 -0.0180 0.9314

D1 =

1

a

b

c

d

e

how can i find the unkowns a b c d e if [B]*[D1]==0

please give me all the details because i'm new to MATLAB and i'm still learning it

And thank you in advanced.

[Walter Roberson]

The rank of that matrix is 6 to the precision of what you posted, but you only have 5 unknowns. You will not be able to get an exact solution, only a best fit (under some meaning of "best")

[jad bousaid]

In fact, there is more than one solution,and if we had 6 unkowns, all the answers would be zeros so that's why i put the 1 and there is 5 unkowns and i don't need an exact solution, i just need one if it exicte,with the methode details please.

thank you very much..

Answer 1

[Bruno Luong]

More "robust" method

[~,~,V] = svd(B);
D1 = V(:,end);
D1 = D1/D1(1);

Answer 2

[Bruno Luong]

[~,R,P] = qr(B);
D1 = P*[R(1:end-1,1:end-1)\R(1:end-1,end); -1];
D1 = D1/D1(1)

[jad bousaid]

Thank you