Advanced Linear Algebra

Advanced Linear Algebra

Academic Lesson via YouTube Direct link

Topics in Linear Algebra - The Functional Calculus - 01 - Theorem and Example

13 of 25

13 of 25

Topics in Linear Algebra - The Functional Calculus - 01 - Theorem and Example

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Classroom Contents

Advanced Linear Algebra

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  1. 1 Linear Algebra - Least Squares Approximation - 01 - Introduction
  2. 2 Linear Algebra - Least Squares Approximation - 02 - Fundamental Theorem
  3. 3 Linear Algebra - Least Squares Approximation - 03 - Fitting data to a straight curve Part 1
  4. 4 Linear Algebra - Least Squares Approximation - 04 - Fitting data to a straight curve Part 2
  5. 5 Linear Algebra - Least Squares Approximation - 05 - Fitting data to a straight curve Part 3
  6. 6 Linear Algebra - Least Squares Approximation - 06 - Fitting data to a straight curve example
  7. 7 Linear Algebra - Least Squares Approximation - 07 - Fitting data to more general functions
  8. 8 Linear Algebra - Least Squares Approximation - 08 - The inverse of A transpose times A
  9. 9 Linear Algebra - Hamming's error correcting codes - 01 - Hamming matrices
  10. 10 Linear Algebra - Hamming's error correcting codes - 02 - Properties of Hamming matrices
  11. 11 Linear Algebra - Hamming's error correcting codes - 03 - Example
  12. 12 Linear Algebra - Hamming's error correcting codes - 04 - Parity bits
  13. 13 Topics in Linear Algebra - The Functional Calculus - 01 - Theorem and Example
  14. 14 Topics in Linear Algebra - The Functional Calculus - 02 - Square-root of a positive matrix
  15. 15 Topics in Linear Algebra - The Functional Calculus - 03 - Polynomial interpolation
  16. 16 Topics in Linear Algebra - The Functional Calculus - 04 - The determinant of a Van dermonde matrix
  17. 17 Topics in Linear Algebra - The Functional Calculus - 05 - Proof of main theorem
  18. 18 Affine subspaces and transformations - 01 - affine combinations
  19. 19 Affine subspaces and transformations - 02 - affine subspaces
  20. 20 Affine subspaces and transformations - 03 - affine transformations
  21. 21 Affine subspaces and transformations - 04 - composition of affine transformations
  22. 22 Stochastic maps - 01 - Conditional probabilities
  23. 23 Stochastic maps - 02 - Composing conditional probabilities
  24. 24 Stochastic maps - 03 - Products of conditional probabilities and a.e. equivalence
  25. 25 Stochastic maps - 04 -Bayes' theorem

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