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3 If T R R is a linear transformation the vectors e e2 and e3...

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Algebra

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3 If T R R is a linear transformation the vectors e e2 and e3 span determine a unit cube of volume 1 cubic unit and the vectors T e T e and T e3 span a parallelepiped of volume det M where M is th matrix of the transformation T 0 If the vectors 5 3 and 2 are the transformed basis vectors 62 then the volume of the parallelepiped spanned by these vectors is

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