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A chemical plant uses a system of interconnected pipes. If the matrix representing the flow rates becomes singular, which outcome occurs?

A)Flow rates become maximized
B)System becomes thermodynamically unstable
C)Unique solution cannot be found
D)Pipes experience uniform pressure

💡 Explanation

If the matrix representing the flow rates is singular, it means the system of linear equations describing the flow does not have a unique solution, because the determinant is zero which implies linear dependence. Therefore, a unique solution for flow rates cannot be determined, rather than the system becoming unstable or flow rates maximizing, which are unrelated consequences.

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