Advanced Linear Algebra Full Video Course

Course Overview

What does this course tell?
(Please note that the following overview content is from the original platform)


Linear Algebra - Least Squares Approximation - 01 - Introduction
Linear Algebra - Least Squares Approximation - 02 - Fundamental Theorem
Linear Algebra - Least Squares Approximation - 03 - Fitting data to a straight curve Part 1
Linear Algebra - Least Squares Approximation - 04 - Fitting data to a straight curve Part 2
Linear Algebra - Least Squares Approximation - 05 - Fitting data to a straight curve Part 3
Linear Algebra - Least Squares Approximation - 06 - Fitting data to a straight curve example
Linear Algebra - Least Squares Approximation - 07 - Fitting data to more general functions
Linear Algebra - Least Squares Approximation - 08 - The inverse of A transpose times A
Linear Algebra - Hamming's error correcting codes - 01 - Hamming matrices
Linear Algebra - Hamming's error correcting codes - 02 - Properties of Hamming matrices
Linear Algebra - Hamming's error correcting codes - 03 - Example
Linear Algebra - Hamming's error correcting codes - 04 - Parity bits
Topics in Linear Algebra - The Functional Calculus - 01 - Theorem and Example
Topics in Linear Algebra - The Functional Calculus - 02 - Square-root of a positive matrix
Topics in Linear Algebra - The Functional Calculus - 03 - Polynomial interpolation
Topics in Linear Algebra - The Functional Calculus - 04 - The determinant of a Van dermonde matrix
Topics in Linear Algebra - The Functional Calculus - 05 - Proof of main theorem
Affine subspaces and transformations - 01 - affine combinations
Affine subspaces and transformations - 02 - affine subspaces
Affine subspaces and transformations - 03 - affine transformations
Affine subspaces and transformations - 04 - composition of affine transformations
Stochastic maps - 01 - Conditional probabilities
Stochastic maps - 02 - Composing conditional probabilities
Stochastic maps - 03 - Products of conditional probabilities and a.e. equivalence
Stochastic maps - 04 -Bayes' theorem


We consider the value of this course from multiple aspects, and finally summarize it for you from three aspects: personal skills, career development, and further study:
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Unlock the Exciting World of Learning! Here's What Awaits You: With the Advanced Linear Algebra Full Video Course, learners can gain a comprehensive understanding of linear algebra and its related development direction. Through this course, learners can learn the fundamentals of linear algebra, such as least squares approximation, Hamming's error correcting codes, the functional calculus, affine subspaces and transformations, and stochastic maps.

Learners can gain a deep understanding of linear algebra by learning the fundamentals of least squares approximation, such as fitting data to a straight curve, fitting data to more general functions, and the inverse of A transpose times A. They can also learn about Hamming's error correcting codes, including Hamming matrices, properties of Hamming matrices, and parity bits.

In addition, learners can explore the functional calculus, affine subspaces and transformations, and stochastic maps. They can learn about the theorem and example of the functional calculus, square-root of a positive matrix, polynomial interpolation, the determinant of a Van dermonde matrix, affine combinations, affine subspaces, affine transformations, composition of affine transformations, conditional probabilities, composing conditional probabilities, products of conditional probabilities and a.e. equivalence, and Bayes' theorem.

By taking this course, learners can gain a comprehensive understanding of linear algebra and its related development direction. They can learn the fundamentals of linear algebra, such as least squares approximation, Hamming's error correcting codes, the functional calculus, affine subspaces and transformations, and stochastic maps. With this knowledge, learners can unlock the exciting world of learning and gain a deep understanding of linear algebra.