A suggestion for Spivak's book

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I am starting to venture through the book "Calculus on Manifolds " by Michael Spivak . At the end of the first chapter , it mentions about a transformation matrix. I haven't learned Linear Algebra ,so I was wondering if it would be fine to skip the understanding of this transformation matrix and continue to chapter 2. Waiting for suggestions .

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Ummm. Some things in mathematics build heavily on others. You need to know linear algebra before you can make any headway on differential geometry. Continue to chapter 2 and you are just going to find even more linear algebra throughout.

Linear algegra is key to much of multi-dimensional analysis and geometry. I strongly urge you to get a basic understanding of it before tackling those subjects.