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Solve the Homogeneous System (x2y+13z=07x+y6z=08xy+7z=0)\left( \begin{array} { r } x - 2 y + 13 z = 0 \\7 x + y - 6 z = 0 \\8 x - y + 7 z = 0\end{array} \right)

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Solve the homogeneous system. (x2y+13z=07x+y6z=08xy+7z=0)\left( \begin{array} { r } x - 2 y + 13 z = 0 \\7 x + y - 6 z = 0 \\8 x - y + 7 z = 0\end{array} \right) If the equations of the system are dependent, or if a system is inconsistent, so indicate. In those cases enter dependent or inconsistent .


Definitions:

Departmental Work Flows

The sequence of processes through which a work or project passes from initiation to completion within specific departments.

Flow Matrix

A tool used in process management and operations research to depict the flow of materials, products, or information between process steps or departments.

Cycle Time

The total time from the beginning to the end of a process, indicating the speed at which products are produced or services are delivered.

Workstations

Specific areas or equipment setups designed for specific tasks in a manufacturing or office environment, often focusing on ergonomics and efficiency.

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