21.16 - Singular Value Decomposition (SVD)
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Practice Questions
Test your understanding with targeted questions
What does SVD stand for?
💡 Hint: Think about the components it factors into.
What is the type of matrix that contains the singular values in SVD?
💡 Hint: This matrix has non-zero entries only along the diagonal.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for Singular Value Decomposition?
💡 Hint: Recall the notation of SVD.
Is the matrix Σ in SVD a diagonal matrix?
💡 Hint: What kind of entries does a diagonal matrix have?
1 more question available
Challenge Problems
Push your limits with advanced challenges
Consider a matrix A. Derive its SVD step-by-step, explaining each step's significance.
💡 Hint: Visualize each step as layers building up the understanding of the matrix's structure.
Provide a real-world dataset and perform PCA using SVD to reduce dimensions. Explain the retained singular values' significance.
💡 Hint: Think about how the information is expressed dimensionally in the context of real-world applications.
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