i need to determine values of vaiables in 6 x 8 matrix; sums of the variables in horizontal and vertical columns are known; variables in my problem takes values between 16 and 22
Lets say the variables are from x1 to x6 in the first row, x7 to x12 in the second row, and similarly continuing till x43 to x48 in the eighth row.
Its given that x1+x2+x3+x4+x5+x6=S1(known)
x7+x8+x9+x10+x11+x12=S2(known)
.
.
.
x43+x44+x45+x46+x45+x47=S8(known)
Also,
x1+x7+x13+x19+x25+x31+x37+x43=S9(known)
and so on...
Yes, there are 14 equations but the number of variables are 48 in between the given range.
Is there a way to determine the variables?