Decomposition matrices: Matrix u -0.219236 -0.742923 0.558841 -0.321266 -0.443608 -0.814382 -0.423296 -0.144292 0.045120 -0.525326 0.155023 0.117540 -0.627356 0.454339 0.092880 Diagonal of matrix w 16.701033 1.037092 0.000000 Matrix v-transpose -0.441275 -0.568002 -0.694730 0.799131 0.103472 -0.592185 -0.408248 0.816497 -0.408249 Check product against original matrix: Original matrix: 1.000000 2.000000 3.000000 2.000000 3.000000 4.000000 3.000000 4.000000 5.000000 4.000000 5.000000 6.000000 5.000000 6.000000 7.000000 Product u*w*(v-transpose): 1.000001 2.000001 3.000000 2.000000 3.000001 4.000001 3.000000 4.000001 5.000001 4.000001 5.000001 6.000001 5.000000 6.000000 7.000000 *********************************** press RETURN for next problem Decomposition matrices: Matrix u -0.363117 -0.641961 0.523447 -0.377809 0.198233 -0.381646 -0.440410 -0.174588 0.601674 -0.517584 -0.419648 -0.100586 -0.639804 0.021296 0.635591 -0.479064 0.270818 -0.251817 -0.614293 -0.506347 -0.562925 0.557195 0.471977 0.342695 0.180131 Diagonal of matrix w 19.597635 3.185096 0.749886 0.385723 0.276932 Matrix v-transpose -0.363117 -0.381646 -0.419648 -0.479064 -0.562925 0.641961 0.440409 0.100586 -0.270818 -0.557195 -0.523447 0.174589 0.639804 0.251817 -0.471977 0.377809 -0.601674 -0.021296 0.614293 -0.342695 -0.198233 0.517584 -0.635591 0.506347 -0.180131 Check product against original matrix: Original matrix: 1.000000 2.000000 3.000000 4.000000 5.000000 2.000000 2.000000 3.000000 4.000000 5.000000 3.000000 3.000000 3.000000 4.000000 5.000000 4.000000 4.000000 4.000000 4.000000 5.000000 5.000000 5.000000 5.000000 5.000000 5.000000 Product u*w*(v-transpose): 1.000000 2.000000 3.000000 4.000000 5.000001 2.000000 2.000000 3.000000 4.000000 5.000001 3.000001 3.000000 3.000000 3.999999 5.000001 4.000000 4.000000 4.000000 3.999999 5.000001 5.000000 5.000000 4.999999 4.999999 5.000001 *********************************** press RETURN for next problem Decomposition matrices: Matrix u -0.403927 -0.123898 0.287702 -0.200315 -0.537524 0.640048 -0.353729 0.373714 0.751239 0.209291 0.322161 -0.152517 -0.457606 0.385934 -0.478084 0.601435 -0.226633 -0.001283 -0.414094 0.321511 -0.200360 -0.714971 -0.088792 -0.407363 -0.394852 -0.207079 -0.280703 -0.113860 0.732258 0.416233 -0.418250 -0.741479 0.073238 0.173781 -0.108773 -0.477368 Diagonal of matrix w 30.634527 9.954128 5.350265 4.867328 1.819681 1.119592 Matrix v-transpose -0.348552 -0.510097 -0.430995 -0.317609 -0.416918 -0.397315 0.090927 0.540705 0.077793 -0.543460 -0.597330 0.202895 -0.905129 0.134551 0.330645 -0.069389 0.146158 0.164723 0.055301 -0.155486 0.687702 0.355621 -0.490215 -0.364766 -0.212118 0.313933 -0.465454 0.686520 -0.384793 0.142930 0.054152 -0.553720 0.096350 0.034405 -0.244206 0.787628 Check product against original matrix: Original matrix: 3.000000 5.300000 5.600000 3.500000 6.800000 5.700000 0.400000 8.200000 6.700000 1.900000 2.200000 5.300000 7.800000 8.300000 7.700000 3.300000 1.900000 4.800000 5.500000 8.800000 3.000000 1.000000 5.100000 6.400000 5.100000 5.100000 3.600000 5.800000 5.700000 4.900000 3.500000 2.700000 5.700000 8.200000 9.600000 2.900000 Product u*w*(v-transpose): 2.999997 5.299997 5.599997 3.499998 6.799994 5.699997 0.399999 8.199994 6.699995 1.900000 2.199998 5.299995 7.799994 8.299994 7.699996 3.300001 1.899999 4.799997 5.499995 8.799995 2.999997 1.000000 5.099999 6.399997 5.099997 5.099998 3.599998 5.799995 5.699995 4.899999 3.499999 2.700001 5.699997 8.199992 9.599992 2.899999 *********************************** press RETURN for next problem