Study material for Csir net mathematical sciences Linear algebra

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This video looks at how to derive a general expression for the Lie derivative and what it tells us about a given tensor quantity. NB. at time mark 7:05 the second term on the right hand side should read v^j Nabla_j u^i. That is, the index on the Nabla operator should be a “j” as…

I recommend watching this video at 1.5x speed. This video explains how to write the parametric vector form of a homogeneous system of equations, Ax = 0. This is also the process of finding the basis of the null space.

In this lesson, students are introduced to the general form of an exponential function and determine patterns about their y-intercepts and increasing/decreasing nature. For a copy of the worksheet used in this video, click on: http://www.emathinstruction.com/sitebuildercontent/sitebuilderfiles/CCAlgIU6L4IntroductionToExponentialFunctions.pdf

This video is part of an online course, Visualizing Algebra. Check out the course here: https://www.udacity.com/course/ma006.

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