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An application of matrix calculus to an engineering problem. (Spanish. English summary) Zbl 1003.15007

Summary: We give a real world example that can be used in the last courses of the Secondary School. The generalization of the problem (university level) leads us to some interesting topics: difference equations, diagonalization of matrices, power of a matrix, Markov chains, etc.…

MSC:

15A18 Eigenvalues, singular values, and eigenvectors
97D40 Mathematics teaching methods and classroom techniques
15A21 Canonical forms, reductions, classification
39A10 Additive difference equations
60J10 Markov chains (discrete-time Markov processes on discrete state spaces)
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