exercise9


  n =  5   tries =  100000
A    norm: estimate =  3.7206459765426096 np.linalg.norm =  3.732050807568877
Ainv norm: estimate =  3.726442210933149 np.linalg.norm =  3.7320508075688767
A    cond: estimate =  13.864772218926968 np.linalg.cond =  13.928203230275507

  n =  10   tries =  100000
A    norm: estimate =  3.7837974304671533 np.linalg.norm =  3.918985947228995
Ainv norm: estimate =  11.687367612713844 np.linalg.norm =  12.343537519677058
A    cond: estimate =  44.222631541911674 np.linalg.cond =  48.374150078708404

  n =  15   tries =  100000
A    norm: estimate =  3.7917238064779615 np.linalg.norm =  3.9615705608064613
Ainv norm: estimate =  23.662075289806356 np.linalg.norm =  26.02171722995436
A    cond: estimate =  89.72005418703267 np.linalg.cond =  103.0868689198178

  n =  20   tries =  100000
A    norm: estimate =  3.6063256029018165 np.linalg.norm =  3.977661652450257
Ainv norm: estimate =  36.24979031706547 np.linalg.norm =  44.76606865271504
A    cond: estimate =  130.72854692025555 np.linalg.cond =  178.0642746108618

  n =  25   tries =  100000
A    norm: estimate =  3.6161034662656575 np.linalg.norm =  3.985417748196109
Ainv norm: estimate =  53.71244151366162 np.linalg.norm =  68.57651434417679
A    cond: estimate =  194.22974593914316 np.linalg.cond =  273.30605737670663

  n =  30   tries =  100000
A    norm: estimate =  3.4900959349598426 np.linalg.norm =  3.9897386467837896
Ainv norm: estimate =  74.02030835535872 np.linalg.norm =  97.45303362331512
A    cond: estimate =  258.33797729551156 np.linalg.cond =  388.8121344932645