Principles of Mathematics in Operations Research

(Rick Simeone) #1
Solutions 235

Qx

-0.6921 -0.5964 -0.3911
0.7218 -0.5718 -0.3750
0 0.5633 -0.7948
0 0 -0.2734
0 0 0
0 0 0

0.1109 -0.0079 -0.0001
0.1063 -0.0076 -0.0001
0.2253 -0.0161 -0.0002
-0.9595 0.0685 0.0009
-0.0712 -0.9974 -0.2331
0 -0.0135 0.9999

Ri =

-111.1369 123.6364 -3.6447 0
0 -8.9636 5.0452 0.1915
0 -1.2438 -3.0895
0 0 -0.4497
0 0 0
0

0
0
0
0 0 0

0
0
-0.0051
-0.0202
-0.0322
0

A 2 = RiQi

166.1589 -6.4701 0 0 0
-6.4701 7.9677 -0.7006 0 0
0 -0.7006 1.0885 0.0711 0
0 0 0.0711 0.2511 0.0023
0 0 0 0.0023 0.0322
0 0 0 0

0
0
0
0
-0.0005
0.0016
0"
0
0
0
0
0 0.0016

R5Q5

^6 = QeR&, where


166.4231^0 0 0 0

Qe

0 7.7768 -0.0002 0 0 0
0 -0.0002 1.0218 0.0002 0 0
0 0 0.0002 0.2447 0 0
0 0 0 0 0.0321 0
0 0 0 0

-1.0000
0
0
0
0
0

0 0 0
-1.0000 0 0
0 -1.0000 0.0002
0 -0.0002 -1.0000
0
0

0 -1.0000

0 0.0016

0

-Rfi

-166.4231 0 0 0
0 -7.7768 0.0002 0
0 0 -1.0218 -0.0003
0 0 0 -0.2447

0 1.0000

0
0
0
0
-0.0321

0
0
0
0
0
0 0.0016
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