Actually, if you are a complete novice, Linear Algebra Done Right won't serve you too well. You need to understand basics before approaching it. I should probab

Actually, if you are a complete novice, Linear Algebra Done Right won't serve you too well. You need to understand basics before approaching it. I should probably include Strang's book as a first introduction, before Linear Algebra Done Right. On a side note, Axler's book is also $120 cheaper than Strang's (which may or may not matter to you). You could also watch the free lectures by Strang online, and then use Axler's book as a supplement. I personally think that Axler's exposition is far more concise and clear.