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Topic | Am I the only one who finds linear algebra harder than integral calculus? |
scar the 1 02/07/18 5:00:01 PM #27: | Personally I find linear algebra a lot easier. That probably comes from the fact that I've applied it extensively during my uni studies, since I took game engineering. Not a lot of calculus there. Figuring out tricky limits or substitutions was always harder than the kinds of linear algebra problems I solved. Eigenvectors/values can be nifty for a lot of thing, but the principle is quite simple. Keep in mind that "eigen" is German and means "own". An eigenvector of a transformation will be mapped onto its own line. Consider projection onto a plane. Any vector that is already in the plane will be projected on itself. So those are the eigenvectors of that transformation. I think it's by far easiest to grasp this if you take some transformations in R or R that are easy to visualize and understand, then examine those eigenvectors. What are the eigenvectors of a rotation? What are the eigenvectors or a reflection? Etc. --- Everything has an end, except for the sausage. It has two. ... Copied to Clipboard! |
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