Book on quadric surfaces with linear algebra

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Most information that I can find about quadric surfaces is written from a calculus perspective - without using any matrices or vectors. However, I would like to have a reference that tells me the different representations for a quadric surface and also some background on why these representations are used. So, e.g., I want to see both the vector representation(s) and the scalar representation(s) of a cone. Are there any books that cover this?

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If you can find a copy, have a look at: "Solid Analytical Geometry and Determinants" by Arnold Dresden, c.1930, published by John Wiley and Sons. I have a copy of the Fourth Printing, 1948. (No ISBN in my copy.)