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Prerequisites: Basic vector and matrix operations. Elementary Row Operations and Reduced Form There are three types of elementary row operations: Scaling: Multip a row by a scalar $k$ Addition: Add $k$ times one row to another row Swapping: Exchange two rows Each operation corresponds to multiplying...

Motivation Digital circuits are often modeled as directed acyclic graphs. Given a boolean circuit and a vector of input values, the task is to compute the output values of every gate. A straightforward evaluation method is a topological traversal. This note presents structural techniques that can ac...