I hope that this question will not be thought captious or obscurantist. My math education was a bit hit or miss because my academic field was history. My sole knowledge of linear algebra comes from courses I took in abstract algebra and in numerical methods. What I gathered from that is that linear algebra provides a succinct notation for systems of linear equations and an efficient method to solve such systems. Is that it? Is there something I am missing that I would learn from studying linear algebra?

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