Question: Problema with add

restart;In this code "add" is a trouble.
A := Matrix([[1, 2, 1, 3], [1, 1, 2, 1], [1, -2, 5, -11]]);
cs := LinearAlgebra:-ColumnSpace(A);
cnames := [seq(c || j, j = 1 .. numelems(cs))];
cvals := seq(solve([entries(A[() .. (), k] -~ add(`*`~(cnames, cs)), 'nolist')], cnames)[], k = 1 .. op([1, 2], A));
seq(add*rhs~(cvals[k]) *~ cs, k = 1 .. op([1, 2], A));
add does not play its role. Why. Thank you.

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