Consider the equation of an ellipse written in terms of x and y as
(x y) (7 -4) (x) = 7x² - 8yx + 13y² = 1
(-4 13) (y)

Find an equivalent equation for this ellipse in terms of u and v where
(x y) (7 -4) (x) = (u v) D (u)
(-4 13) (y) (v)
You should shoose a diagonal matrix D such that (7 -4) = PDPᵀ
(-4 13)
Given should answer in the form Au² + BC² - 1 where A and B are constant. Note that this question requires you to enter all answer before the Check button will you attempt.
___________________
How are u and v defined in terms of x and y?
u = ___________________
v = ___________________