Which mathematical technique is most commonly used by e-commerce platforms for their recommendation engines that suggest products based on past purchases?

Modern retail operations increasingly rely on sophisticated mathematical models to optimize everything from inventory to customer behavior prediction. These mathematical tools have revolutionized how retailers make decisions and allocate resources. Test your knowledge about the intersection of mathematics and retail analytics with this challenging question!

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Collaborative filtering using matrix factorization
Bayesian inference with Markov chain Monte Carlo
Simplex algorithm for linear programming
Quaternion rotation matrices for spatial analysis