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Being aware of the broad applications for Linear Algebra in engineering, I'm very eager to go through some Linear Algebra course on my own. But my problem is th

• gugagore 5y ago
  One possible perspective: thinking of images as a vector space, and thinking of image operations like blurring, sharpening, and even any spatial transformation as linear operators (representable as matrices). This perspective is most straightforward with a 1-dimensional domain, like an audio signal, or the temperature along a thin rod, because there's a clear way to organize all the values in a vector, e.g. all the audio samples are just in sequence. So if that's appealing to you at all, I would recommend that first. You can do filtering (like with an "equalizer") and add effects like echo/reverb as linear operations. I think that it is particularly fun to think of some ground-truth signal that is corrupted by an echo in a room and a microphone that attenuates some frequencies, and trying to undo that corruption.
• chongli 5y ago
  You could try making a simple software-rendered 3D game from scratch. Basic 3D rendering is pretty much all linear algebra computations involving matrices and vectors.
• ampgt 5y ago
  Check out “eigenfaces.” It’s straight forward and works reasonably well. There are a lot of interesting applications of PCA and SVD. Signal and noise separation, machine learning, the list goes on.