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The Maxima on-line user's manual

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Columnspace

Function: columnspace (<M>) If <M> is a matrix, return span (v_1, ..., v_n), where the set {v_1, ..., v_n} is a basis for the column space of <M>. The span of the empty set is {0}. Thus, when the column space has only one member, return span ().

(%o1)                                true
(%i2) 

Related Examples

columnspace-matrix

m:matrix([1,2,5,-3],[...

columnspace(m);

Calculate

columnspace-matrix

m:matrix([1,2,3],[2,5...

columnspace(m);

Calculate

columnspace-matrix-transpose-triangularize

A:matrix([7,0,1,3,2],...

B:transpose(A);

c:triangularize(B);

Calculate

columnspace-matrix-transpose

A:matrix([7,0,1,3,2],...

B:transpose(A);

columnspace(B);

Calculate

columnspace-matrix-transpose

A:matrix([7,0,1,3,2],...

B:transpose(A);

columnspace(B);

Calculate

columnspace-matrix-nullspace

m:matrix([15,9,-3,9],...

nullspace(m);

columnspace(m);

Calculate

columnspace-matrix-triangularize

A:matrix([7,0,1,3,2],...

B:triangularize(A);

columnspace(B);

Calculate

columnspace-matrix-nullspace

m:matrix([15,9,-3,9],...

nullspace(m);

columnspace(m);

Calculate

columnspace

? columnspace;

Calculate

columnspace

? columnspace;

Calculate