Which mathematical technique is the primary foundation of collaborative filtering recommendation systems commonly used in retail?

Recommendation systems are essential tools in modern retail, suggesting products to customers based on their preferences and behavior. Behind these seemingly magical suggestions lies advanced mathematics. This trivia question explores which mathematical concept forms the backbone of collaborative filtering, one of the most widely used recommendation approaches in retail analytics. Test your knowledge of the intersection between mathematics and retail technology!

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Matrix factorization and singular value decomposition (SVD)
Bayesian probability networks
Support vector machines (SVM)
Monte Carlo Markov chains