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How much Linear Algebra do you need to know for QM?

Im currently a 1st year Physics undergrad with time on my hands: I took a gap year but did a bit of serious Maths/Physics during the year (e.g. Classical Mechanics using Kleppner/Kolenkow, pretty much the entirety of University Physics by Young/Freedman as well as Multi-Variable Calculus by Larson).

I would like to spend the time studying a serious treatment of QM (considering using Griffiths text at the moment) but the problem is I have never done any serious Linear Algebra beyond Further Maths A Level. So exactly how much do I need to know to be able to tackle Griffiths text? I used Spivaks Calculus text last year to get a more rigorous treatment of single-variable Calculus and have heard Apostols Calculus texts are in the same league and his second volume on multi-variable also has a treatment of Linear Algebra.
http://www.amazon.com/Calculus-Vol-Multi-Variable-Applications-Differential/dp/0471000078/ref=pd_bxgy_b_text_y

Will these 5 chapters be enough for something like Griffiths QM text or do you think I should get a more thorough text on Linear Algebra? By the way Id like to avoid using Mathematical Methods type books which I find to be usually too brief to give you a good understanding of the Maths.
Hi there,

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