What are the pre-requisites for Apostol calculus vol. 2?

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Hi, so basically i have just finished reading spivak's calculus and quite a lot people in this forum suggested that apostol's vol.2 is a good 'next book' after spivak calculus.

I was just wondering whether apostol's volume 2 presupposes knowledge of linear algebra, because i am not too proficient with it. (i read strang's book on linear algebra quite some time back, so by now quite... you know)

Any advice?

Thanks in advance.
 
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This is from the introduction of Apostol's Calculus volume 2.

The last two chapters of Volume I have been repeated as the
first two chapters of Volume II so that all the material on linear algebra will be complete
in one volume.
Part 1 contains an introduction to linear algebra, including linear transformations,
matrices, determinants, eigenvalues, and quadratic forms.

I believe this should provide sufficient background.