Instructional Video9:59
3Blue1Brown

Linear combinations, span, and basis vectors | Essence of linear algebra, chapter 2

12th - Higher Ed
Some foundational ideas in linear algebra: Span, linear combinations, and linear dependence.
Instructional Video9:47
Professor Dave Explains

Linear Second-Order Differential Equations Part 2: Non-Homogeneous Differential Equations

9th - Higher Ed
We just learned how to solve homogenous linear second-order differential equations. Now it's time to tackle the non-homogenous variety. This will start out the same way that we learned in the previous tutorial, but that will get us...
Instructional Video12:25
Professor Dave Explains

Linear Independence

9th - Higher Ed
Defining linear independence.
Instructional Video22:45
Professor Dave Explains

Wavefunction Properties, Normalization, and Expectation Values

9th - Higher Ed
We are beginning to get a glimpse of quantum mechanical principles from a rigorous, mathematical perspective. Now that we know how to use operators in conjunction with wavefunctions, let's get a better sense of what wavefunctions...
Instructional Video6:29
Curated Video

Data Science and Machine Learning (Theory and Projects) A to Z - Mathematical Foundation: Linear Independence

Higher Ed
In this video, we will cover linear independence.
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This clip is from the chapter "Machine Learning: Feature Engineering and Dimensionality Reduction with Python" of the series "Data Science and Machine Learning (Theory and...
Instructional Video7:21
Curated Video

Data Science and Machine Learning (Theory and Projects) A to Z - Mathematical Foundation: Eigen Space

Higher Ed
In this video, we will cover Eigen Space.
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This clip is from the chapter "Machine Learning: Feature Engineering and Dimensionality Reduction with Python" of the series "Data Science and Machine Learning (Theory and Projects) A...
Instructional Video14:24
Curated Video

Data Science and Machine Learning (Theory and Projects) A to Z - Mathematical Foundation: Coordinates Versus Dimensions

Higher Ed
In this video, we will cover coordinates versus dimensions.
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This clip is from the chapter "Machine Learning: Feature Engineering and Dimensionality Reduction with Python" of the series "Data Science and Machine Learning...
Instructional Video9:35
Professor Dave Explains

Basis and Dimension

9th - Higher Ed
Defining basis and dimension.
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Proof of Formula for Determining Eigenvalues

9th - 10th
Video beginning the process of finding eigenvectors and their eigenvalues by manipulating the equation for finding a transformation where the result is an eigenvector. Includes review of null space and linear independence and dependence...