[Linear Algebra] The Singular Value Decomposition

JunHyeon Sim·2024년 7월 17일
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Linear Algebra

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The Singular Value Decomposition

example

Theorem.

definition

derivation

Bases for Fundamental Subspaces (+visualizing)

Invertible matrix theorem (추가)

Reduced SVD

pseudoinverse

x̂은 Ax=b의 least-squares solution, smallest length

Application

  • least-squares solution
  • data analysis (covariance matrix)
  • image / sound processing
  • etc.
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I'm an undergraduate student majoring in Computer System Engineering at Inha Technical College. I'm interested in Deep learning.

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