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Mathematics
Linear and Abstract Algebra
Canonical Form for quadratic equations *with* linear terms
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[QUOTE="Office_Shredder, post: 6502270, member: 53426"] That's a neat condition (I haven't checked your work). ##c^2-4ab=0## means that ##D## is going to be singular, which people often want to exclude when talking about quadratic forms anyway. In particular, suppose your quadratic form was ##x^2+y=0##. It's pretty clear you're not going to change coordinates to make this look nice, since it's just not quadratic in one direction. [/QUOTE]
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Mathematics
Linear and Abstract Algebra
Canonical Form for quadratic equations *with* linear terms
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