Consider the following dataset of 3 features namely X, Y, and Z. Determine the principal components and select the necessary components so that the transformed dataset holds 95% of the normalized cumulative variances. X Y Z Instance 1: -2 0 -2 Instance 2: 0 2 2 Instance 3: 2 -2 0 Note that you have the transform the eigenvectors to unit vectors before forming the feature vector i.e., you have to determine the eigenvectors Xi Xi+1 Хп and afterward, each of the eigenvectors must be scaled to unit length xi eigenvector x1+1 using the equation x¿ Xi = Where, ||x||2 is the 12 ||X||2 , x'n norm of vector x=[xi, Xi+1, ... xn].

Consider the following dataset of 3 features namely X, Y, and Z. Determine the principal components and select the necessary components so that the transformed dataset holds 95% of the normalized cumulative variances. X Y Z Instance 1: -2 0 -2 Instance 2: 0 2 2 Instance 3: 2 -2 0 Note that you have the transform the eigenvectors to unit vectors before forming the feature vector i.e., you have to determine the eigenvectors Xi Xi+1 Хп and afterward, each of the eigenvectors must be scaled to unit length xi eigenvector x1+1 using the equation x¿ Xi = Where, ||x||2 is the 12 ||X||2 , x'n norm of vector x=[xi, Xi+1, ... xn].

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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