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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Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! ðŸ™‚ https://www.patreon.com/patrickjmt !! Finding all the Zeros of a Polynomial – Example 2. In this video, I use the rational roots test to find all possible rational roots; after finding one I use long division to factor,…

Definition of orbital as region of high probability for finding electron, and how quantum numbers are used to describe the orbitals. Compares Bohr model orbits and quantum mechanical model of atom. Created by Jay. Watch the next lesson: https://www.khanacademy.org/science/chemistry/electronic-structure-of-atoms/orbitals-and-electrons/v/quantum-numbers-for-the-first-four-shells?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/electronic-structure-of-atoms/orbitals-and-electrons/v/heisenberg-uncertainty-principle?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made…

This calculus video tutorial explains how to sketch the derivatives of the parent function using the graph f(x). This video contains plenty of examples and practice problems. Here is a list of topics: 1. Sketching Derivatives of Parent Functions 2. Quadratic Function / Parabola f(x) = x^2 3. Linear Functions 2x 4. Cubic Functions x^3…