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A = 1 1 1 1 0 THOOO OHTOO -1 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 0 0 -1 -1 0 0 0 1 -1 00170 -1 0 0 1 0 Draw the corresponding directed graph. Calculate the matrix-vector product A1. Suppose the nodes/vertices in the graph represent instagram users and the edges describe the relationships between users. For example, edge 1 indicates that user 1 is following user 2. Give the real-world interpretation of the sign of (A1); in words, i.e. what does it mean if (A1); is positive, negative or 0?

A = 1 1 1 1 0 THOOO OHTOO -1 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 0 0 -1 -1 0 0 0 1 -1 00170 -1 0 0 1 0 Draw the corresponding directed graph. Calculate the matrix-vector product A1. Suppose the nodes/vertices in the graph represent instagram users and the edges describe the relationships between users. For example, edge 1 indicates that user 1 is following user 2. Give the real-world interpretation of the sign of (A1); in words, i.e. what does it mean if (A1); is positive, negative or 0?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) (b) (c) A = = -1 0 0 1 -1 0 0 -1 -1 THO 0 0 - 1 0 HOOOT 0 1 0 0 0 0 0 1 1 -1 0 0 0 -1 OOTHO 0 0 1 -1 0 0 Draw the corresponding directed graph. Calculate the matrix-vector product A1. Suppose the nodes/vertices in the graph represent instagram users and the edges describe the relationships between users. For example, edge 1 indicates that user 1 is following user 2. Give the real-world interpretation of the sign of (A1); in words, i.e. what does it mean if (A1); is positive, negative or 0? (d) Suppose x is a vector corresponding to 'likes', where x; indicates the number of 'likes' along an edge in the graph. For example x = (0, 0, 2, 0, 0, 0, 0, 0) indicates 2 ‘likes' along edge 3, which means that user 5 has 'liked' two of user 2's posts. How would you modify A such that Ar gives you the number of likes each user has received, i.e. (Ãx)3 = 3 indicates user 3 has received 3 likes.
Transcribed Image Text:(a) (b) (c) A = = -1 0 0 1 -1 0 0 -1 -1 THO 0 0 - 1 0 HOOOT 0 1 0 0 0 0 0 1 1 -1 0 0 0 -1 OOTHO 0 0 1 -1 0 0 Draw the corresponding directed graph. Calculate the matrix-vector product A1. Suppose the nodes/vertices in the graph represent instagram users and the edges describe the relationships between users. For example, edge 1 indicates that user 1 is following user 2. Give the real-world interpretation of the sign of (A1); in words, i.e. what does it mean if (A1); is positive, negative or 0? (d) Suppose x is a vector corresponding to 'likes', where x; indicates the number of 'likes' along an edge in the graph. For example x = (0, 0, 2, 0, 0, 0, 0, 0) indicates 2 ‘likes' along edge 3, which means that user 5 has 'liked' two of user 2's posts. How would you modify A such that Ar gives you the number of likes each user has received, i.e. (Ãx)3 = 3 indicates user 3 has received 3 likes.
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