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Linear ALgebra

  • MIT: A 2020 Vision of Linear Algebra

    • the 1st half, 1,2,3, is about solving equations

    • the 2nd half, 4,5,6, is about eigenvalues and eigenvectors and singular values.

    • A = Column matrix * Row matrix

      • CR decomposition, a technique that is highly used in many Data Science, Statistics, and Data Analysis problems.
      • Matrix C contains the independent columns of matrix A
      • Matrix R contains the basis of the row space of A

    • LU famous computer commands for elimination, for solving equations, the first job of linear algebra.

    • S is symmetric matrix

    • You really don't want to miss Singualr value.

    • Symmetric matrix, S, is the king of linear algebra

    • Orthogonal matrix, Q, is the queen of linear algebra

Calculus

Probability

3Blue1Brown

Misc