Solution: For Exercises 3336: In three dimensions, Theorem 5.21 states thatif D is a

Chapter 5, Problem 36

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For Exercises 3336: In three dimensions, Theorem 5.21 states thatif D is a region of finite volume in R3, and T : R3 R3 withT(x) = Ax, thenvolumeT(D)= | det(A)| volume(D) (9)The image of the unit sphere (below left) under a linear transformationis an ellipsoid (example below right).In Exercises 3536, use (9) to determine the volume of the describedparallelepiped.The parallelepiped with sides described by the vectors135,042,611

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