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Explore the consequences of Einstein's Special Relativity in a one-dimensional Newtonian context through the lens of linear algebra. Delve into the derivation of length contraction, time dilation, and Einstein's velocity addition using Lorentz transformations. Understand how these concepts stem from a simple change of basis argument, which forms the core of linear algebra. Learn about a novel approach to introducing Special Relativity by considering bats using sound signals to measure positions and times of events in their surroundings.
