Original matrix: 1.000000 0.000000 0.000000 0.000000 2.000000 0.000000 0.000000 0.000000 3.000000 Product of Q and R matrices: 1.000000 0.000000 0.000000 0.000000 2.000000 0.000000 0.000000 0.000000 3.000000 Q matrix of the decomposition: -1.000000 0.000000 0.000000 0.000000 -1.000000 0.000000 0.000000 0.000000 1.000000 R matrix of the decomposition: -1.000000 0.000000 0.000000 0.000000 -2.000000 0.000000 0.000000 0.000000 3.000000 Updated matrix: 2.000000 1.000000 1.000000 0.000000 2.000000 0.000000 0.000000 0.000000 3.000000 Product of new Q and R matrices: 2.000000 1.000000 1.000000 0.000000 2.000000 0.000000 0.000000 0.000000 3.000000 New Q matrix: -1.000000 0.000000 0.000000 0.000000 -1.000000 0.000000 0.000000 0.000000 1.000000 New R matrix: -2.000000 -1.000000 -1.000000 0.000000 -2.000000 0.000000 0.000000 0.000000 3.000000 *********************************** press return for next problem: Original matrix: 1.000000 2.000000 3.000000 2.000000 2.000000 3.000000 3.000000 3.000000 3.000000 Product of Q and R matrices: 1.000000 2.000000 3.000000 2.000000 2.000000 3.000000 3.000000 3.000000 3.000000 Q matrix of the decomposition: -0.267261 0.963624 0.000000 -0.534523 -0.148250 -0.832050 -0.801784 -0.222375 0.554700 R matrix of the decomposition: -3.741657 -4.008919 -4.810702 0.000000 0.963624 1.778998 0.000000 0.000000 -0.832050 Updated matrix: 2.000000 4.000000 6.000000 3.000000 4.000000 6.000000 4.000000 5.000000 6.000000 Product of new Q and R matrices: 2.000000 4.000000 6.000000 3.000000 4.000000 6.000000 4.000000 5.000000 6.000000 New Q matrix: 0.371391 0.918260 -0.137360 0.557086 -0.102029 0.824163 0.742781 -0.382608 -0.549442 New R matrix: 5.385165 7.427814 10.027548 0.000000 1.351882 2.601735 0.000000 0.000000 0.824163 *********************************** press return for next problem: Original matrix: 1.000000 2.000000 3.000000 4.000000 5.000000 2.000000 3.000000 4.000000 5.000000 1.000000 3.000000 4.000000 5.000000 1.000000 2.000000 4.000000 5.000000 1.000000 2.000000 3.000000 5.000000 1.000000 2.000000 3.000000 4.000000 Product of Q and R matrices: 1.000000 2.000000 3.000000 4.000000 4.999999 2.000000 3.000000 4.000000 5.000000 0.999999 3.000000 4.000000 4.999999 0.999999 2.000000 4.000000 5.000000 1.000000 2.000000 2.999999 5.000000 0.999999 1.999999 3.000001 4.000000 Q matrix of the decomposition: -0.134840 -0.277161 -0.351340 0.467892 -0.750091 -0.269680 -0.319801 -0.387069 0.494376 0.656330 -0.404520 -0.362441 -0.422799 -0.723908 -0.046881 -0.539360 -0.405081 0.732454 0.079453 -0.046881 -0.674200 0.724882 -0.107188 0.079453 -0.046881 R matrix of the decomposition: -7.416199 -6.067799 -5.393599 -5.393600 -6.067798 0.000000 -4.264014 -2.878209 -1.705605 -0.746201 0.000000 0.000000 -4.198214 -2.620162 -1.220757 0.000000 0.000000 0.000000 4.016809 1.942193 0.000000 0.000000 0.000000 0.000000 -3.516054 Updated matrix: 2.000000 4.000000 6.000000 8.000000 10.000000 3.000000 5.000000 7.000000 9.000000 6.000000 4.000000 6.000000 8.000000 5.000000 7.000000 5.000000 7.000000 4.000000 6.000000 8.000000 6.000000 3.000000 5.000000 7.000000 9.000000 Product of new Q and R matrices: 2.000000 3.999999 5.999998 8.000000 9.999998 3.000000 5.000000 6.999999 8.999999 5.999999 4.000000 6.000000 7.999999 4.999998 7.000000 5.000000 7.000000 4.000000 6.000000 8.000000 5.999999 2.999999 5.000000 7.000000 8.999999 New Q matrix: 0.210819 0.363730 0.378491 0.449408 0.691399 0.316228 0.340997 0.341625 0.391043 -0.717007 0.421637 0.318264 0.304759 -0.790841 0.051215 0.527046 0.295531 -0.788933 0.099220 0.051215 0.632455 -0.750194 0.157295 0.099220 0.051215 New R matrix: 9.486833 10.540925 12.122064 14.230249 16.865480 0.000000 4.887626 4.546628 4.091965 3.523636 0.000000 0.000000 4.731143 3.993822 3.072170 0.000000 0.000000 0.000000 4.450303 2.991187 0.000000 0.000000 0.000000 0.000000 3.841105 *********************************** press return for next problem: Original matrix: 1.400000 2.100000 2.100000 7.400000 9.600000 1.600000 1.500000 1.100000 0.700000 5.000000 3.800000 8.000000 9.600000 5.400000 8.800000 4.600000 8.200000 8.400000 0.400000 8.000000 2.600000 2.900000 0.100000 9.600000 7.700000 Product of Q and R matrices: 1.400000 2.099999 2.100001 7.400000 9.599998 1.600000 1.500000 1.100000 0.700000 5.000000 3.800000 8.000000 9.600000 5.400000 8.799999 4.600000 8.200000 8.400001 0.399999 7.999999 2.600000 2.900000 0.100000 9.600000 7.699999 Q matrix of the decomposition: -0.204472 -0.126500 -0.267185 0.701215 -0.615710 -0.233682 -0.501530 -0.735648 -0.109596 0.375061 -0.554996 0.568874 -0.017165 0.361839 0.486970 -0.671837 0.099968 -0.000307 -0.576640 -0.454013 -0.379734 -0.631549 0.622205 0.181233 0.192258 R matrix of the decomposition: -6.846897 -11.830176 -11.695810 -8.587832 -16.313959 0.000000 2.521295 5.420437 -4.238126 -2.779134 0.000000 0.000000 -1.475441 3.388235 -1.605740 0.000000 0.000000 0.000000 8.575391 6.150248 0.000000 0.000000 0.000000 0.000000 -1.901892 Updated matrix: 5.800000 12.330000 11.340000 7.840000 14.110001 8.000000 16.380001 14.540000 1.340000 11.560000 22.599998 51.709999 49.079998 7.280000 28.070000 41.000000 92.830002 84.839996 4.040000 45.310001 3.000000 3.830000 0.940000 9.640000 8.110000 Product of new Q and R matrices: 5.799999 12.329995 11.339997 7.840000 14.109997 8.000001 16.380001 14.540001 1.340002 11.560000 22.599998 51.709995 49.079998 7.280001 28.070000 41.000000 92.829987 84.839989 4.040000 45.310001 3.000002 3.830003 0.940004 9.639999 8.110002 New Q matrix: 0.120980 -0.215025 0.354002 0.457917 -0.777253 0.166870 -0.473091 0.451814 -0.734371 -0.070020 0.471407 0.194186 0.626975 0.320647 0.494120 0.855207 0.076312 -0.465851 -0.124878 -0.173742 0.062576 -0.828503 -0.245827 0.364146 0.341516 New R matrix: 47.941631 108.229935 99.549377 8.662201 56.125332 0.000000 3.551716 5.909012 -8.584535 -6.313612 0.000000 0.000000 1.601845 3.693378 4.715778 0.000000 0.000000 0.000000 7.946185 4.267430 0.000000 0.000000 0.000000 0.000000 -3.009089 *********************************** press return for next problem: