Analyzing Albillo's Matrix No. 3 with the CC40 Message #1 Posted by Palmer O. Hanson, Jr. on 13 June 2005, 10:18 p.m.
In an earlier thread Gene presented results from processing Valentin Albillo's matrix no. 1 with the CC40. Valentin suggested that additional tests should be submitted including results using his matrix no. 2 and matrix no. 3. I submitted the matrix no. 2 results on May 31. The matrix no. 3 results follow.
Analysis of Albillo 3 on the CC40.
Determinant of Albillo 3 = 1.0043809112
where as previously noted the minus sign is a recognized problem with the Mathematics module of the CC40. The Mathematics module of the TI74 gets correct signs for determinants.
Inverse of matrix no.Albillo 3:
292945582.4049 699654.87421177 1933850.970318 4743223.358971 21244412.115987 75992713.666666 293114079.2352
12055.18742001 28.873865387142 79.651363024570 195.1448859989 874.1700319661 3127.2999426923 12062.15704319
90022.61920092 215.0580829528 594.3965345195 1457.6143899226 6528.3995064483 23352.69408068 90074.39236040
510682.74419247 1219.6566633336 3371.2309790954 8268.7755102080 37034.75422017 132475.63576146 510976.45736443
4306738.560514 10285.93806257 28430.44848146 69732.50817077 312324.73338398 1117206.616839 4309215.708312
36726586.086149 87715.72519643 242446.8618433 594657.85651607 2663411.829143 9527206.155713 36747710.541804
292947244.1249 699658.85682450 1933861.922259 4743250.241096 21244532.588037 75993144.778155 293115741.9509
Determinant of Inverse of Albillo 3 = 0.9817382846
Albillo 3 x its inverse:
0.99 0.000001 0.0001 0.0002 0 0.0002 0
0.01 0.999999 0.000022 0.0001 0.0001 0.0001 0.01
0.005 0.000008 1.000008 0.0001 0.0002 0.0009 0.0014
0.0045 0.000009 0.000015 0.999946 0.0001 0.0009 0.0024
0.0021 0.000005 0.000007 0.000025 1.0001 0.0003 0.0011
0.0002 0.000001 0.000003 0.000002 0 1 0.0004
0 0.00001 0 0 0.0004 0.0011 0.99
Determinant of product = 0.9817382846
Norms for Albillo 3 x its inverse  the identity matrix as suggested by Rodger Rosenbaum
Row norm = 0.020323
Column norm = 0.0318
Frobinius norm = 0.0214956891
What's next? I have been so busy transferring all these numbers from my CC40 to the Forum that I have had very little time to look at the results. Hopefully, I can present some observations later this week.
