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HP Forum Archive 15

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Analyzing Albillo's Matrix No. 3 with the CC-40
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 CC-40. 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 CC-40.

Determinant of Albillo 3 = -1.0043809112

where as previously noted the minus sign is a recognized problem with the Mathematics module of the CC-40. The Mathematics module of the TI-74 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 CC-40 to the Forum that I have had very little time to look at the results. Hopefully, I can present some observations later this week.


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