Question: Write a program that generates and displays 100 random vectors that are uniformly distributed within the ellipse [ 5 x^{2}+21 x y+25 y^{2}=9 ] [Hint:

Write a program that generates and displays 100 random vectors that are uniformly distributed within the ellipse

\[ 5 x^{2}+21 x y+25 y^{2}=9 \]

[Hint: Consider generating uniformly distributed samples within the circle of radius 3 and use the fact that linear transformations preserve uniformity to transform the circle to the given ellipse.]

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