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Some Old Problems and New Results About Quadratic Forms Ams

Some Old Problems and New Results About Quadratic Forms Ams

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alright thanks for watching and today I want to do something really really cool and before that let me tell you a story so I didn't go to high school in the US and I remember once I came to the US I was opening this math book on conic sections and it just looked like the worst thing ever oh those formulas everywhere in Auden I didn't know where they came from you know they just magically appeared and I was like no way I'm gonna memorize that okay so I didn't memorize this and then I took linear algebra and now I'm like I'm so happy I didn't memorize this because you don't have to using linear algebra you can clap easily classify any conic section you find so in fact let me illustrate this so what is the curve or the surface 2x squared plus 10x y plus 2y squared equals to 1 and again there's some formal of to the B squared minus 4ac or something that tells you exactly what this is but we will do this as I said the linear algebra way and the advantage is what I'm presenting now it works

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