Given a homogeneous system Ax = 0 of (scalar) linear equations, we say that a subset of

Question:

Given a homogeneous system Ax = 0 of (scalar) linear equations, we say that a subset of these equations is irredundant provided that the corresponding column vectors of the transpose A^T are linearly independent. In Problems 21–24, extract from each given system a maximal subset of irredundant equations.