Notes in linear-algebra

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Status	Last Update	Fields
Published	04/30/2024	What is SVD mathematically?
Published	04/30/2024	Define linear independence for a set of vectors
Published	04/30/2024	Define orthogonality for vectors
Published	04/30/2024	Define the span of a set of vectors
Published	04/30/2024	Define the rank of a matrix
Published	04/30/2024	Define the eigenvectors and eigenvalues of a matrix
Published	04/30/2024	Define a basis of a vector space
Published	04/30/2024	State as many equivalencies of the Invertible Matrix Theorem as you can.An \(n \times n\) matrix \(A\) is invertible if and only if...
Published	04/30/2024	How is PCA related to SVD?
Published	04/30/2024	In what sense is dimensionality reduction by PCA optimal?
Published	04/30/2024	What does PCA compute (in matrix-theoretic terms)?
Published	04/30/2024	What is SVD intuitively?
Status	Last Update	Fields