Learning Path
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Explore TopicChoose the Best Answer
A
Singular Value Decomposition (SVD)
B
Cholesky Decomposition
C
QR Decomposition
D
LU Decomposition
Understanding the Answer
Let's break down why this is correct
Answer
The technique most often used is Singular Value Decomposition, or SVD. SVD takes a large data matrix and writes it as a product of three matrices, separating the data into orthogonal “basis” vectors and their associated strengths. This lets analysts see which patterns or directions explain most of the variation, making it easier to spot trends, filter noise, or compress the data. For example, a sales table can be decomposed so that a few key components explain most of the sales variation, simplifying forecasting and reporting.
Detailed Explanation
Singular Value Decomposition splits a matrix into three parts: two rotation matrices and one diagonal matrix of singular values. Other options are incorrect because Cholesky decomposition is used to solve systems of equations when the matrix is positive definite; QR decomposition is used to solve least‑squares problems and to find orthogonal bases.
Key Concepts
Business Analytics
Topic
Matrix Decomposition Techniques
Difficulty
easy level question
Cognitive Level
understand
Practice Similar Questions
Test your understanding with related questions
1
Question 1In the context of data analysis, how can matrix decomposition techniques such as matrix factorization and dimensionality reduction be utilized in clustering algorithms to enhance the performance of data segmentation?
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2
Question 2Which matrix decomposition technique is best suited for reducing dimensionality in large datasets?
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3
Question 3Arrange the following matrix decomposition techniques in the correct order of their application for simplifying a complex matrix in data analysis: A) Eigen Decomposition, B) Singular Value Decomposition, C) Matrix Reconstruction, D) Data Interpretation.
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