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by injb 1967 days ago
Terrence Tao's notes are a great resource:

https://www.math.ucla.edu/~tao/resource/general/115a.3.02f/w...

Unlike most texts I've seen, he focuses on the algebraic properties of linear objects first. Others seem to prefer to start with the algorithms of matrix operations. Of course you need to understand both so it's a matter of style/preference etc.

Also take a look at Shilov's Linear Algebra. Two things it has going for it is that it's a lot cheaper and more compact than most books. On the other hand, it's dense, and doesn't really lean on geometry to explain anything. The 3blue1brown videos make a great compliment to it (or to any book).