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Question: Can ColumnSpace return a basis consisting of columns of the matrix?

Question:Can ColumnSpace return a basis consisting of columns of the matrix?

DJJerome1976 535 Maple 17
linearalgebra basis column
November 06 2013
0

I am using the ColumnSpace command (from the LinearAlgebra package) to generate a basis for the column space of a matrix. Is there any way to "force" the command to express the basis in terms of columns of A and not in the canonical form with leading 1's?

For example, for

A:=Matrix([[-3,6,-1,1-7],[1,-2,2,3,-1],[2,-4,5,8,-4]]):

I would like to obtain the following basis for the column space:

{[-3,1,2],[-1,2,5]}

 
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