If anyone is interested in a more visual or intuitive over-view, I made a mini-book on it as well a few years ago which you can find here: https://github.com/photonlines/Intuitive-Overview-of-Linear-...
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https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2x...
What also helped me as a visual learner was to program/setup tiny experiments in Processing[1] and GeoGebra Classic[2].
- [1] https://processing.org - [2] https://www.geogebra.org/classic