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anonymous
 4 years ago
(a) Find an orthogonal matrix which will transform the quadratic form Q=5x^2 +8y^2 4xy into sum of squares
(b) Reduce the conic 5x^2 +8y^2 4xy 36 = 0 into standard form (sum of squares) and sketch the conic.
anonymous
 4 years ago
(a) Find an orthogonal matrix which will transform the quadratic form Q=5x^2 +8y^2 4xy into sum of squares (b) Reduce the conic 5x^2 +8y^2 4xy 36 = 0 into standard form (sum of squares) and sketch the conic.

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abb0t
 4 years ago
Best ResponseYou've already chosen the best response.0for b, group like terms (get all the x's together and all the y's together).

abb0t
 4 years ago
Best ResponseYou've already chosen the best response.0I'm trying to remember how to do part. a. Lol But I think you use the 1,0,0: 0,1,0, 0,0,1 matrix set to find it's orthogonality.
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