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Dynamic Programming in Python: Optimizing Programs for Efficiency

Challenge: The Matrix Chain Multiplication

Explore how to apply dynamic programming to solve the matrix chain multiplication problem efficiently. Understand matrix multiplication dimensions, associative properties, and develop an algorithm to minimize the number of primitive multiplications required to multiply a sequence of matrices.

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Problem statement

Remember how matrix multiplication works. Given two matrices AA and BB of dimensions (n×m)(n \times m) and (m×l)(m \times l), the resulting matrix we get is ABAB whose ...