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edr1c

  • 3 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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  1. abb0t
    • 3 years ago
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    for b, group like terms (get all the x's together and all the y's together).

  2. abb0t
    • 3 years ago
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    I'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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