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Given the following utility matrix, representing the ratings, on a 1–5 star scale, of eight items,...

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Advance Math

Given the following utility matrix, representing the ratings, ona 1–5 star scale, of eight items, a through h, by three users A, B,and C:

abcdefgh
A455132
B343121
C213453

After we normalize the matrix by subtracting from each nonblankentry the average value for its user, what is the cosine distancebetween users A and C ?

-0.1155

0.5842

0.3334

-0.7396

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