o^ the two procedures described above was employed, but it will also be shown 

 Lf'.at the second procedure is simpler and that it gives substantially the same 

 r e s ait s . 



The original set of equations for the assumed complete set of data is 

 given b^'^ the matrix equation (see Part 8); 

 (9. 1) AX = B 



where A is the matrix: 



(9. 2) 



a,nd where S represents the double sum: 



89 59 



(9. 3) 2 2 



k=0 j=0 



A calculation shows A to be: 



6,318,900 7,088,850 



(9.4) ( 7,088,850 14,337,900 



159,300 240,300 



B is defined as the vector: 



(9.5) SkNjk 



2Njk 

 where 2 is defined by (9.3). 



The column vector, X, is given by 



83 



