Question

The augmented matrix below represents a system of linear equations associated with a real world prob-...

The augmented matrix below represents a system of linear equations associated with a real world prob-

lem. The augmented matrix has already been completely row reduced.

1 0 6 12  0 1 −2 0  0000

(a) Use the reduced matrix to write down the parametric solution for the system as a point (x, y, z).

  

(b) Assuming that x, y, and z represent the number of whole items, determine how many “actual” solutions this system has, and write down each real world solution.

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