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I am looking for a textbook to aid me in self studying linear algebra. I currently own Axler's Linear Algebra Done Right, but I fear it is not sufficient for an initial treatment. Any recommendations?

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Gilbert Strang has written I think more than one.

My former advisor Peter Petersen has written one (that I haven't seen).

My undergraduate course at Berkeley was taught by Bill Jacob, whose book was in manuscript form at the time (late 80's). I liked it.

Howard Anton has a book (at least).

There are, I would guess, numerous such books.