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
-0.534522 -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 10.027549
0.000000 1.351882 2.601736
0.000000 0.000000 0.824164
***********************************
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 1.999999 2.999999 4.000000 4.999999
2.000000 3.000000 4.000000 5.000000 1.000000
3.000000 4.000000 5.000000 1.000000 1.999999
4.000000 5.000000 0.999999 2.000000 3.000000
5.000000 0.999999 2.000000 3.000000 3.999999
Q matrix of the decomposition:
-0.134840 -0.277161 -0.351340 0.467892 -0.750092
-0.269680 -0.319801 -0.387069 0.494377 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 -6.067799
0.000000 -4.264014 -2.878209 -1.705606 -0.746201
0.000000 0.000000 -4.198214 -2.620161 -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 7.999999 9.999998
3.000000 5.000001 7.000000 9.000001 6.000000
4.000000 6.000000 7.999999 4.999998 6.999998
4.999999 6.999999 3.999998 5.999999 7.999997
6.000000 3.000000 5.000000 7.000000 8.999998
New Q matrix:
0.210818 0.363730 0.378491 0.449408 0.691399
0.316228 0.340997 0.341625 0.391043 -0.717007
0.421637 0.318264 0.304760 -0.790841 0.051215
0.527046 0.295531 -0.788934 0.099220 0.051215
0.632456 -0.750194 0.157295 0.099220 0.051215
New R matrix:
9.486833 10.540926 12.122064 14.230249 16.865479
0.000000 4.887626 4.546628 4.091966 3.523636
0.000000 0.000000 4.731143 3.993822 3.072170
0.000000 0.000000 0.000000 4.450304 2.991188
0.000000 0.000000 0.000000 0.000000 3.841106
***********************************
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 1.099999 0.700000 5.000000
3.800000 7.999999 9.600001 5.400001 8.799998
4.600000 8.199999 8.400001 0.400000 8.000000
2.600000 2.899999 0.099999 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 0.568875 -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 -11.830175 -11.695810 -8.587833 -16.313959
0.000000 2.521295 5.420437 -4.238126 -2.779134
0.000000 0.000000 -1.475441 3.388234 -1.605743
0.000000 0.000000 0.000000 8.575391 6.150247
0.000000 0.000000 0.000000 0.000000 -1.901891
Updated matrix:
5.800000 12.330000 11.340000 7.840000 14.110001
8.000000 16.380001 14.540000 1.340000 11.559999
22.599998 51.709999 49.079994 7.280000 28.070000
41.000000 92.830002 84.840004 4.040000 45.310001
3.000000 3.830000 0.940000 9.640000 8.110000
Product of new Q and R matrices:
5.799998 12.329995 11.339995 7.839999 14.109995
8.000000 16.380001 14.539998 1.339999 11.559999
22.599998 51.710003 49.079994 7.280000 28.069998
41.000000 92.830002 84.839989 4.040001 45.310005
2.999999 3.829997 0.939998 9.639998 8.109996
New Q matrix:
0.120980 -0.215025 0.354002 0.457916 -0.777253
0.166870 -0.473091 0.451814 -0.734371 -0.070020
0.471407 0.194186 0.626976 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:
47.941635 108.229958 99.549385 8.662200 56.125336
0.000000 3.551716 5.909012 -8.584536 -6.313612
0.000000 0.000000 1.601846 3.693384 4.715780
0.000000 0.000000 0.000000 7.946180 4.267425
0.000000 0.000000 0.000000 0.000000 -3.009090
***********************************
press return for next problem: