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I'm currently studying some basic linear algebra, which is part of my A-Level Math curriculum, and I feel like many of the topics we're doing are very rushed through. A lot of our syllabus objectives are something like "Use this result to do X or Y" and it gets confusing for me because this leaves me oblivious as to what's going on.

For instance, we are told, when studying complex numbers that "it can be shown that":

Code (Text):

cosθ + isinθ = e^(iθ)

so,

r[cosθ + isinθ] = r.e^(iθ)

And it makes no sense that there is no explanation as to how the initial result is even obtained! I want to know why. It's annoying to have to take the result for what it is and do stuff with it. It's because of such things that I have a hard time understanding vectors. :(

Likewise with partial fractions. We're told to just express different kinds of functions in a given form, without being told how the result is obtained. (say, A\z + (Bx + C)/y or something)

I'd rather spend more time learning a few proofs or reading more into the specific parts that are confusing me. I found that doing this, with other topics, helped me greatly build some kind of intuition to understanding the subject.

If needed, I can link the syllabus.

With that in mind, which linear algebra text book would you recommend?

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# Linear Algebra: Can't make sense of it!

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