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Question 1101042: If parcel A and B together weigh 24 kgs, but parcel B and C together weighs only 21 kgs.
When parcel A and C are paired, the combined weight is 27kgs. If the weight of parcel A is
represented by a, the weight of parcel C is represented by b and the weight of parcel C is
represented by c.
a. Derive a system of three equations in a, b and c.
b. Using the inverse method derive the combined weight of parcel A, B and C
Found 2 solutions by jorel1380, richwmiller:
Answer by jorel1380(3719)   (Show Source):
Answer by richwmiller(17219)  (Show Source):
You can put this solution on YOUR website! original
1 1 0 24
0 1 1 21
1 0 1 27
determinant =2
inverse matrix fractional form
1/2 -1/2 1/2
1/2 1/2 -1/2
-1/2 1/2 1/2
24 21 27
solutions and sum
15 + 9 + 12 =36
The process is much too long to present here.
I can only assume that such a problem was given to practice the inverse matrix method so that you could check your result easily with ankor's method..
There are several inverse matrix methods including using gauss jordan, using the identity matrix and using determinants, cofactors and and adjoint.
I used determinant, cofactor and adjoint.
Previously, Ankor and Ikleyn used a different method to solve the same problem stating it is the most obvious and simplest choice to solve this problem. It is but I suppose that the teacher is introducing inverse matrix method and started with an easy system of equations.
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