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Math Help - Composition of Linear Transformations

  1. #1
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    Composition of Linear Transformations

    Let A be an m x n matrix and B be an n x p matrix. For each j let uj and vj denote the jth columns of AB and B, respectively.

    Prove vj = Bej, where ej is the jth standard vector of F^p (j is a subscript)

    Thanks..
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  2. #2
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    Oct 2008
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    In general if C=(c_1 c_2 \cdots c_n)
    where c_i are vector columns then
    <br />
C\begin{pmatrix} k_1\\k_2\\\vdots\\k_n\end{pmatrix}=k_1c_1+\cdots k_nc_n

    Try to use this fact!
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