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Math Help - Preserving Volume

  1. #1
    Junior Member tedii's Avatar
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    Preserving Volume

    My Analysis class just stuck us with a lot of Linear Algebra, and I haven't had formal teaching in Linear Algebra yet and was wondering if you guys could head me in the right direction for this problem.

    Find a linear transformation  h: R^{n}\rightarrow R^{n} that preserves volumes but is not an isometry.
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  2. #2
    Junior Member tedii's Avatar
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    Actually I think I have one, simple if I did this right.

    The matrix \left(\begin{array}{cc}K&0\\0&\frac{1}{K}\end{arra  y}\right)
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