Principles of Mathematics in Operations Research

240 Solutions

4(4) 3 = Q3-R3

-1.0000000 0.0009338 -1.7566 x 10~^8 8.8905 x 10~^15

-0.0009338 -1.0000000 7.2955 x 10~^5 -8.7996 x KT^11

-5.0559 x 10-^8 -7.2955 x 10"^5 -1.0000 3.6138 x lO"^6

1.0943 x 10"^13 1.7565 x KT^10 3.6138 x 10"^6 1.0000

-1.50020 -0.00156 -8.7713 x 10~^8 1.9304 x 10~^13

0.00000 -0.16914 -1.2831 x 10~^5 3.1503 x lO"^11

0.00000 0.00000 -0.006738 2.4701 x 10-8

0.00000 0.00000 0.000000 9.6702 x 10~^5

A(4) 4 = R 3 Q 3

1.500200 0.000158 3.4068 x lO"^10 -1.0796 x 10~^16

0.000158 0.169140 4.9159 x 10~^7 1.7074 x 10"^14

3.4068 x 10-^10 4.9159 x 10~^7 0.0067383 3.4947 x lO"^10

1.0582 x KT^17 1.6986 x 10~^14 3.4947 x 10~^10 9.6702 x 10~^5

4(4)4 = Q4R4

-1.0000

-0.00010528

-2.2709 x 10~^10

0.00010528 -7.8899 x 10"^11

-1.0000 2.9064 x 10~^6

-2.9064 x 10-6 -1.0000

-7.0539 x 10-18 -1.0042 x 10~^13 -5.1863 x 10~^8

-5.7307 x 10~^19 '

5.0310 x 10"^14

-5.1863 x 10"^8

1.0000

-1.50020

0.00000

0.00000

0.00000

,4(4)5 = R4Q4

-0.00018

-0.16914

0.00000

0.00000

-3.9397 x 10~^10 1.0608 x KT^16

-5.1117 x 10-^7 -1.8100 x 10-^14

-0.0067383 -3.5448 x lO"^10

0.0000000 9.6702 x 10~^5

1.5002

1.7808 x 10~^5

1.5302 x 10~^12

-6.8213 x 10~^22

1.7808 x 10~^5 1.5304 x 10~^12 1.1853 x 10~^16 '

0.16914 1.9584 x 10~^8 -9.8322 x lO"^17

1.9584 x 10~^8 0.0067383 -5.0152 x 10~^12

-9.7112 x 10~^18 -5.0153 x 10~^12 9.6702 x 10"^5

Thus, A =

1.5002

0.16914

0.0067383

0.0000967

and

rAfA„ 1.5002

^^ = 01)000967 =^15514