Linear Algebra Book Recommendations

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I'm wondering if anyone here can recommend a good book on things like transformations, operators, bases, and vectorspaces. I had trouble with this subject matter when I took linear algebra, not just understaing the material but picturing it as well. Any recommendations appreciated.
 
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Nicalous Bourbaki
 
And the title of the book I should be looking for is?..
 
I'm not quite sure what level you're looking for, but I think Axler's Linear Algebra Done Right is pretty good. It's designed for an advanced undergraduate linear algebra course. It's pretty good at giving you a better understanding of the subject, but if you're looking more towards applying it (outside of mathematics), it may not be the right book for you.
 
I'm not looking to apply it so much, just to get a good understanding of it. Other students in my linear class seemed to grasp the concepts quite easily, I think it may be due to the fact that they had taken discrete mathematics, tho' I'm not too sure. I hate to ignore the material and to have a crude understanding of it. I appreciate the recommendation, I'll check it out.
 

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