Principles of Mathematics in Operations Research

Solutions 239

-4(4) = Q 0 Ro =

-0.83812 0.52265 -0.15397 -0.02631

-0.41906 -0.44171 0.72775 0.31568

-0.27937 -0.52882 -0.13951 -0.78920

-0.20953 -0.50207 -0.65361 0.52613

-1.19320 -0.67049 -0.47493 -0.36984

0.00000 -0.11853 -0.12566 -0.11754

0.00000 0.00000 -0.00622 -0.00957

0.00000 0.00000 0.00000 0.00019

4(4)i = RoQo

1.49110 0.10941 0.0037426 -3.9372 x 10~^5

0.10941 0.17782 0.0080931 -9.4342 x 10~^5

0.00374 0.00809 0.0071205 -0.00012282

-3.9372 x 10~^5 -9.4342 x 10~^5 -0.00012282 9.8863 x 10 -5

A(4)i = QiRi =

-0.997320 0.073211 -0.000868 2.1324 x 10~^6

-0.073173 -0.996260 0.046000 -0.0002696

-0.002503 -0.045938 -0.998790 0.0175510

2.6333 x 10~^5 0.000538 0.017545 0.9998500

A(A) 2 = RiQi

A(4) 2 = Q2R2

-1.49520 -0.12214 -0.0043425 4.6479 x 10~^5

0.00000 -0.16952 -0.0081160 9.6801 x 10~^5

0.00000 0.00000 -0.0067449 0.00012010

0.00000 0.00000 0.0000000 9.6718 x 10~^5

1.500100 0.012424 1.6887 x 10~^5 2.5468 x 10~^9

0.012424 0.169260 0.0003099 5.1991 x KT^8

1.6887 x 10"^5 0.000310 0.0067389 1.6969 x 10"^6

2.5468 x 10~^9 5.1991 x 10"^8 1.6969 x 10~^6 9.6703 x 10~^5

-0.999970

-0.008282

-1.1257 x 10~^5

-1.6977 x 10-^9

0.008282 -3.9108 x 10"^6 -1.3792 x 10"^10

-0.999960 0.0018313 1.5392 x 10~^7

-0.001831 -1.0000000 -0.00025182

-3.0723 x 10-^7 -0.0002518 1.00000000

-1.50010 -0.01383 -1.9529 x 10"^5 -2.9966 x 10 -9

0.00000 -0.16915

0.00000 0.00000

0.00000 0.00000

-0.0003221 -5.5105 x 10~^8

-0.0067383 -1.7212 x 10~^6

0.0000000 9.6702 x 10~^5

^4(4)3 = R2Q2

1.500200

0.001401

7.5850 x 10-^8

-1.6417 x 10~^13

0.001401

0.169140

1.2340 x 10-^5

-2.9710 x 10-^11

7.5850 x 10-^8 -1.6405 x 10"

1.2340 x 10~^5 -2.9710 x 10"

0.0067383 -2.4351 x 10

-2.4351 x 10~^8 9.6702 x 10