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