Fixing V and Finding U Now, assume we have 2 users, 3 movies, and a 2 by 3 matrix Y given by First element of U is: Y The second element of U is: = Our goal is to find U and V such that X = UVT closely approximates the observed ratings in Y. Assume we start by fixing V to initial values of [4, 2, 1]. Find the optimal 2 × 1 vector U in this case. (Express your answer in terms of X). 18 ? 2 ? 5

Fixing V and Finding U Now, assume we have 2 users, 3 movies, and a 2 by 3 matrix Y given by First element of U is: Y The second element of U is: = Our goal is to find U and V such that X = UVT closely approximates the observed ratings in Y. Assume we start by fixing V to initial values of [4, 2, 1]. Find the optimal 2 × 1 vector U in this case. (Express your answer in terms of X). 18 ? 2 ? 5

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.3: Spanning Sets And Linear Independence

Problem 42EQ

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