<sageadvice acro="CSCS" index="column space!consistent systems">

<title>Column Space and Consistent Systems</title>

-We could compute the column space of a matrix with a span of the set of columns of the matrix, much as we did back in <acroref type="sage" acro="CSS" /> when we were checking consistency of linear systems using spans of the set of columns of a coeffiicent matrix. However, Sage provides a convenient matrix method to construct this same span: <code>.column_space()</code>. Here is a check.

+We could compute the column space of a matrix with a span of the set of columns of the matrix, much as we did back in <acroref type="sage" acro="CSS" /> when we were checking consistency of linear systems using spans of the set of columns of a coefficent matrix. However, Sage provides a convenient matrix method to construct this same span: <code>.column_space()</code>. Here is a check.

<input>D = matrix(QQ, [[ 2, -1, -4],