Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn’t a prereq) so don’t confuse this with regular high school algebra.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We’ve also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

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041 – Newton’s Third Law In this video Paul Andersen explains how Newton’s Third Law applies to all objects. When an object applies a force to another object (Action) and equal and opposite force (Reaction) is applied to the original object. Several scenarios are described to show these action-reaction pairs. Free-body diagrams are used to…

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! 🙂 https://www.patreon.com/patrickjmt !! Interval and Radius of Convergence for a Series, Ex 6. Just another example of finding the radius and interval of convergence for a power series.

In this talk, we derive a simple 2D physics simulator, focusing on gravity and spherical objects. The speaker walks through a basic introduction to Newton’s laws, and then derives a formula for a discrete approximation of the equations of motion. We convert the discrete approximation of the equations of motion into Ruby code, which accepts…

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! 🙂 https://www.patreon.com/patrickjmt !! Homogeneous Systems of Linear Equations – Trivial and Nontrivial Solutions, Part 1. In this video, I show what a homogeneous system of linear equations is, and show what it means to have only trivial…