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Explain the purpose of Armadillo’s templating system and how it contributes to the flexibility and optimization of computations in the library.

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Armadillo’s templating system serves as a foundation for efficient and flexible linear algebra computations. It enables compile-time optimizations, reducing overhead and improving performance. By employing expression templates, Armadillo can optimize complex expressions without the need for temporary objects or explicit loops.

The flexibility arises from its ability to handle various matrix types (dense, sparse) and numerical formats (float, double). This adaptability allows users to tailor their code according to specific requirements, leading to more efficient memory usage and faster execution times.

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