Question: Write the following quadratic forms on M2 as a sum of squares. Which are positive definite? (a) x2 8xy + y2 (b) x2 - 4xy

Write the following quadratic forms on M2 as a sum of squares. Which are positive definite?
(a) x2 8xy + y2
(b) x2 - 4xy + 7y2
(c) x2 - 2x y - y2
(d) x2 + 6x y

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