The following table gives the inter industry transactions in millions
of dollars for an economy with 3 sectors S1, S2, S3. Calculate the
coefficient matrix.

	S1	S2	S3	Final Demand	Total

S1	50	25	25	100		200

S2	40	50	10	200		300

S3	100	50	150	300		600

Sorry - I do not know much about this topic. I am just looking for an
answer to this question so that I can use it in my studies. Thanks !

which S's are the coefficients

I assume that this is a problem of input-output analysis, isn't it?
Let us see. The sector S1 produces 200 and it needs 50 from S1, 40
from S2 and 100 from S3. So the coefficient 11 is 50/200=0.25 (to
produce $1 in S1 you have to use $0.25 of the production of S1). The
coefficient 12 is 40/200=0.2 (to produce $1 in S1 you have to use $0.2
of the production of S1). The coefficient 13 is 100/200 = $0.5 (the
outupt of the values $1 in S1 requires input from S3 of the value $0.5
).
In the following way you can compute the other coefficints. 
The coefficient matrix is

0.25  1/12  1/24
0.2   1/6   1/60
0.5   1/6   1/4

Is that right?

Dear pkliber-ga,

Your reply looks like what I wanted. I think this is the correct
answer to my question. Thanks very much !

Regards