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What is the difference(s) between matrix determinant and Jacobian matrix determinant? Is it only about factor of scale?
This is great, but for infinitesimally small regions. What if I want to find how much a general blob will be squished or stretched by this non-linear transformation if it’s regular sizes not infinitesimally small? Should I do some kind of integrals?
Please could you do a video on finding the original value on percentages
This is awesome. If only you were my professor when I was in college.
Does Khan academy ONLY teach math??
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This has been fascinating, but I am still not sure what can I do with the Jacobian, I mean I have an idea, but there may be many uses I haven't thought about
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So, I'm not entirely sure if there is or isn't another video covering this, but when you go from, say cartesian coordinates to polar coordinates in, say an integral, then you need to multiply with their jacobian determinants. this is usually found in books like Rottmanns formulae collection, but when finding these, does one then set up a jacobian determinant where f_1 is the cartesian and f_2 is the polar coordinates before the partial differrential?
Where can I find the subject of this video on Khan Academy?
Thank you so much this is really helpful
thanks for sharing!