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D.3.2.5 orthogonalize

Procedure from library linalg.lib (see linalg_lib).

Usage:
orthogonalize(A); A = matrix of constants

Return:
matrix, orthogonal basis of the colum space of A

Example:
 
LIB "linalg.lib";
ring r=0,(x),lp;
matrix A[4][4]=5,6,12,4,7,3,2,6,12,1,1,2,6,4,2,10;
print(A);
==> 5, 6,12,4,
==> 7, 3,2, 6,
==> 12,1,1, 2,
==> 6, 4,2, 10
print(orthogonalize(A));
==> 1,0, 0, 0,
==> 0,23,0, 0,
==> 0,0, 21,0,
==> 0,0, 0, 6