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Math Help - [SOLVED] Basis transformations

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    Senior Member Spec's Avatar
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    [SOLVED] Basis transformations

    Let \underline{\vec e} be an orthonormal basis in E^4 and W=\{\vec u = \underline{\vec e}X: x_1+2x_2+2x_3=0\}.

    Create a new orthonormal basis \underline{\vec f} so that W=\{\vec u = \underline{\vec f}Y: y_4=0\}.

    I know how to transform coordinate matrices from one basis to another, but I don't really know where to begin on this one.

    EDIT: I guess you can use X=TY \implies T=XY^{-1} where X=(1, 2, 2, 0)^t and Y=(0, 0, 0, 1)^t
    Last edited by Spec; April 19th 2009 at 01:40 PM.
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