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Math Help - Matrix Problem

  1. #1
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    Matrix Problem

    Suppose A is a 3 x n matrix whose columns span R^3. Explain how to construct an n x 2 matrix D such that AD=I3?
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  2. #2
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    AD\rightarrow 3(\times n \times n) \times 2 \rightarrow 3\times 2 \rightarrow R^{3\times 2},AD=I_3?, Are you sure ?

    if\ D\in R^{n\times 3},D=[\vec{v}_1,\vec{v}_2,\vec{v}_3], find\ AD=I_3,
    We could do AD=A[\vec{v}_1,\vec{v}_2,\vec{v}_3]=[A\vec{v}_1,A\vec{v}_2,A\vec{v}_3]=[\vec{e}_1\ \ \vec{e}_2\ \ \vec{e}_3]
    To resolute A\vec{v}_i=\vec{e}_i is easy.
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