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Multiplication Operation on Matrices

Explore how to multiply matrices using R's %*% operator and understand the underlying algorithm. Learn to implement matrix multiplication in C++ with Rcpp using Armadillo and Eigen libraries. This lesson provides practical exercises to confirm correctness and deepen your matrix algebra skills.

Matrix multiplication is defined element by element as:

𝐢=π΄βˆ—π΅πΆ = π΄βˆ—π΅

cij=βˆ‘k=1pπ‘Žπ‘–π‘˜π‘π‘˜π‘—c_{ij} = \displaystyle\sum_{k=1}^pπ‘Ž_{π‘–π‘˜}𝑏_{π‘˜π‘—} ...