Learning Path
Question & Answer1
Understand Question2
Review Options3
Learn Explanation4
Explore TopicChoose the Best Answer
A
Reducing the dimensions of a dataset to identify key features for a machine learning model.
B
Simply adding two matrices together to get a new matrix.
C
Creating a new matrix by multiplying a matrix with its transpose without considering its properties.
D
Performing a row operation to solve a system of linear equations.
Understanding the Answer
Let's break down why this is correct
Answer
Matrix decomposition lets you break a big data table into simpler, hidden parts, so you can see patterns that aren’t obvious. In data analysis, this is used when you have a huge spreadsheet of user ratings and you want to uncover groups of users and items that behave similarly. By factorizing the rating matrix into two smaller matrices, you can predict missing ratings and discover latent factors like “genre preference. ” For example, a movie recommendation system splits a user‑movie matrix into user and movie factors, allowing it to guess a rating a user has never seen. This shows how decomposition turns a complex dataset into interpretable, actionable pieces.
Detailed Explanation
Matrix decomposition breaks a big matrix into simpler pieces. Other options are incorrect because Adding matrices does not simplify or reveal hidden structure; Multiplying by a transpose ignores how to split the matrix into meaningful parts.
Key Concepts
Matrix Decomposition Techniques
Dimensionality Reduction
Data Analysis
Topic
Matrix Decomposition Techniques
Difficulty
medium level question
Cognitive Level
understand
Practice Similar Questions
Test your understanding with related questions
1
Question 1Which matrix decomposition technique is best suited for reducing dimensionality in large datasets?
mediumMathematics
Practice
2
Question 2Which of the following statements accurately describe the applications or properties of matrix decomposition techniques? Select all that apply.
mediumMathematics
Practice
Ready to Master More Topics?
Join thousands of students using Seekh's interactive learning platform to excel in their studies with personalized practice and detailed explanations.