Reduce the quadratic form 5x^2-4xy+8y^2 to its orthogonal canonical form, clearly giving the transformations being used. Also give a rough sketch of the curve representing this canonical form.
(instead of one, any number can be here, you did not specify it)
- canonical form
first of all we should find the square roots of the first and last terms:
-4 - should be multiplication of and and + free term:
Answer:
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