Question: Let E be the closed, filled-in ellipse {(x1, x2) = R | (3(x1 4) + 2(x2 7)) + (8(x1 4) 6(x2 7)) 1} in

Let E be the closed, filled-in ellipse {(x1, x2) = R |

Let E be the closed, filled-in ellipse {(x1, x2) = R | (3(x1 4) + 2(x2 7)) + (8(x1 4) 6(x2 7)) 1} in R2. By finding a suitable affine transformation of R2 mapping the ball B(0, 1) onto E, show that E is convex.

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