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ENEE 611 Final Exam Part I. The following questions refer to the
ENEE 611 Final Exam Part I. The following questions refer to the

Chapter 6: Systems of Linear Equations and
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... A.REI.5: Prove that given a system of two equations in two variables replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. A.REI.8: Represent a system of linear equations as a single matrix equation in a vector ...
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... In order to understand and identify functions, we need to first discuss the differences between certain sets of ordered pairs. A relation is a set of ordered pairs. The first elements of the ordered pairs are the inputs. All of the inputs together form a set called the domain. The second elements of ...
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Signal-flow graph

A signal-flow graph or signal-flowgraph (SFG), invented by Shannon, but often called a Mason graph after Samuel Jefferson Mason who coined the term, is a specialized flow graph, a directed graph in which nodes represent system variables, and branches (edges, arcs, or arrows) represent functional connections between pairs of nodes. Thus, signal-flow graph theory builds on that of directed graphs (also called digraphs), which includes as well that of oriented graphs. This mathematical theory of digraphs exists, of course, quite apart from its applications.SFG's are most commonly used to represent signal flow in a physical system and its controller(s), forming a cyber-physical system. Among their other uses are the representation of signal flow in various electronic networks and amplifiers, digital filters, state variable filters and some other types of analog filters. In nearly all literature, a signal-flow graph is associated with a set of linear equations.
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