Applications of Eigenvalues
What is an eigenvalue and what are its applications? Here we present the concept of eigenvalues and eigenvectors, which play a crucial role not only in linear algebra, with diagonalization and Markov chains and data science and AI, but also in differential equations, to solve systems of differential equations. We discuss the applications of resonance but also we answer Mar Kac famous question: Can you hear the shape of a drum. Namely eigenvalues have some very neat applications in music and principal harmonics and overtones, which we discuss as well. Enjoy this calculus and linear algebra and music extravaganza
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