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. 

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3x1 + 2x2 + 2x3 + 2x4 = 0 2x1 + 3x2 + 3x3 + 3x4= = 0 8x1 + 7x2 + 7x3 + 7x4 = = 0