I\'ve been reading Linear Algebra and its Applications to help understand comput

Question

I've been reading Linear Algebra and its Applications to help understand computer science material (mainly machine learning), but I'm concerned that a lot of the information isn't useful to CS. For example, knowing how to efficiently solve systems of linear equations doesn't seem very useful unless you're trying to program a new equation solver. Additionally, the book has talked a lot about span, linear dependence and independence, when a matrix has an inverse, and the relationships between these, but I can't think of any application of this in CS. So, what parts of linear algebra are used in CS?

Explanation / Answer

The parts that you mentioned are basic concepts of linear algebra. You cannot understand the more advanced concepts (say, eigenvalues and eigenvectors) before first understanding the basic concepts. There are no shortcuts in mathematics. Without an intuitive understanding of the concepts of span and linear independence you won't get far in linear algebra.

Some algorithms only work with full rank matrices

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