Let T : R3 R3 be the linear transformation determined by the matrix Where a, b,
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Where a, b, and c are positive numbers. Let S be the unit ball, whose bounding surface has the equation
a. Show that T(S) is bounded by the ellipsoid with the equation
b. Use the fact that the volume of the unit ball is 4(/3 to determine the volume of the region bound by the ellipsoid in part (a).
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