The following consumption matrix M can yield a nonzero production vector for a closed economy. 0.5956 0.2978 0.1787 M = 0.2978 0 0.4169 0.8934 0.1191 0.0596 Note: Due to approximations with finite-precision computing you may not get an eigenvalue of exactly 1 but that is the intention.(a) Find two different interesting corresponding nonzero production vectors.(b) 1’sproductionissetat100 units.