a) Define Conic section. Find the coordinates of vertices, eccentricity, and foci of the ellipse: 9x^2 + 4y^2 18x 16y 11 = 0 b) If T: R^2 R^3 is defined by T(x 1, x 2) = (x 1 + x 2, x 2, x 1) , find…

a) Define Conic section. Find the coordinates of vertices, eccentricity, and foci of the ellipse: $$9x^2+4y^2-18x-16y-11=0$$ b) If $T:{\mathbb{R}}^2\to {\mathbb{R}}^3$ is defined by $T(x_1,x_2)=(x_1+x_2,x_2,x_1)$, find the matrix associated with $T$.