Obtain the transposed matrix from 2 vectors (MATLAB)

Dear,

I have these two vectors:

c=[1 0 0 0 0 1 1 0 1 0 0 0]

s=[0 1 0 1 1 1]

where s=c*(transposed H)

H here is a matrix

I tried to obtain the transposed matrix HT like that:

c=[1 0 0 0 0 1 1 0 1 0 0 0];
s=[0 1 0 1 1 1];
HT=s/c;

But I got an error (Matrix dimensions must agree)

How can I obtain the transposed matrix please !

Answer 1

[Matt J]

You can do a pseudo-inversion with,

c=[1 0 0 0 0 1 1 0 1 0 0 0];
s=[0 1 0 1 1 1];
HT=c\s;

c*HT-s

ans = 1×6

0 0 0 0 0 0

however, you have far more unknowns than equations, so there is no hope of uniquely recovering the original matrix.