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3 cards from this section. Quick, good the night before a test.
What does SVD stand for?
Think about the components it factors into.
What is the type of matrix that contains the singular values in SVD?
This matrix has non-zero entries only along the diagonal.
What is the formula for Singular Value Decomposition?
Recall the notation of SVD.
Is the matrix Σ in SVD a diagonal matrix?
What kind of entries does a diagonal matrix have?
Consider a matrix A. Derive its SVD step-by-step, explaining each step's significance.
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.
Think about how the information is expressed dimensionally in the context of real-world applications.
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