Question: (b) Latent factor method Given partial complete latent factor matrices Q and P* 2 Q=|_ 2 1 4 142 pr = [ 1 (i) Solve

(b) Latent factor method Given partial complete latent factor matrices Q and P* 2 Q=|_ 2 1 4 142 pr = [ 1 (i) Solve for the missing values in Q and P' such that the objective minp.g 1(;x)er("xi Qxpi)* is min- imized to zero for all known ratings r,; (r,; means the rating on movie i by user x). Provide your answer by filling in the missing entries of the matrices Q and P! above. Hint: F.; = qx + pi, and we want to fill in Q and PT such that ?,,; r,.; = 0 for all known ratings (do not use the estimates from part (a)). (ii) Using the full latent factor matrices Q and P' obtained from the previous part, estimate the missing values in the table of ratings. Provide your answer by filling in the table below. Matrix | Inception | Star Wars | Alice 10 5 Bob 9 16 8 Cathy 13 6

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