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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- October 11th 2008, 11:17 AMleungstaComposition 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.. - October 11th 2008, 12:44 PMwatchmath
In general if

where c_i are vector columns then

Try to use this fact!