Question: Let T : R3 R3 be the linear transformation determined by the matrix Where a, b, and c are positive numbers. Let S be

Let T : R3 †’ R3 be the linear transformation determined by the matrix
Let T : R3 †’ R3 be the linear transformation

Where a, b, and c are positive numbers. Let S be the unit ball, whose bounding surface has the equation

Let T : R3 †’ R3 be the linear transformation

a. Show that T(S) is bounded by the ellipsoid with the equation

Let T : R3 †’ R3 be the linear transformation

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).

a 01 A=10 b 01, 00c 9 2 3 2 1

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