We illustrate the identification of the unresponsive and ranked responsive directions with a toy example: a sensor array of M = 2 distinct MOFs aimed at sensing a quaternary mixture at fixed temperature and pressure (G = 3). See Fig. . Fig. illustrates the singular value decomposition of a M = 2 × 3 = G Jacobian matrix J = J(x op ) at some operating point x op . The three orthonormal right singular vectors {v 1 , v 2 , v 3 } lie in G = 3-dimensional composition space, while the two orthonormal left singular vectors {u 1 , u 2 } lie in M = 2dimensional response space. The Jacobian matrix maps the right-singular vectors into response space as follows: