Figure 1 natrix into more basic components. Given the unwieldy mathematics of matrix factorization, we will not subject our xample to SVD. More important to grasp is the underlying principle, factoring, which s a tool for finding one’s way around mathematical expressions. Consider a simpler xxample: 15 x 30. There are several ways to factor it: (3 x 5) x (3 x 10); or 3 x 5) x (3 x [2 x 5]); or 3? x (5 x [2 x 5]); or 37 x 5? x 2. Each factorization reveals something about the original expression. Notice the preponderance of 3s and 5s in the *xpression (3 x 5) x (3 x [2 x 5]). Factoring allows one to recognize and derive sense ‘rom their frequency. Because 3 and 5 are more prevalent, they are weightier than the one factor, 2. Factoring also provides resources for reducing redundancy through a kind »f data compression, as in the prime factorization using exponential notation, 37 x 5? x 2. SVD functions similarly, allowing one to “format” matrices efficiently and then to deter- nine their significant attributes, or singular values (Austin, n.d.). As Simon Funk (née 3randyn Webb), who is credited with having introduced the Netflix Prize community to SVD. put it.