exercise2:

  Matrix norm p is compatible with vector norm q if
  ||Ax||q / ||A||p / ||x||q <= 1 always.

(p,q)= 1 1 r =  0.9099159663865546
(p,q)= 1 1 r =  0.858095238095238
(p,q)= 1 1 r =  0.9537142857142857
(p,q)= 1 1 r =  0.8671846096929338
(p,q)= 1 1 r =  0.8787561146051712
(p,q)= 1 1 r =  0.879874213836478

(p,q)= 1 2 r =  0.8894310844981356
(p,q)= 1 2 r =  0.8506952302488179
(p,q)= 1 2 r =  0.8541029995945593
(p,q)= 1 2 r =  0.9792093899071594
(p,q)= 1 2 r =  1.0048533565399653
(p,q)= 1 2 r =  0.9020661140999767

(p,q)= 1 inf r =  0.7624489795918368
(p,q)= 1 inf r =  0.76
(p,q)= 1 inf r =  0.7222857142857142
(p,q)= 1 inf r =  1.2470799640610963
(p,q)= 1 inf r =  1.3045822102425877
(p,q)= 1 inf r =  1.049056603773585

(p,q)= 2 1 r =  1.0209730314643064
(p,q)= 2 1 r =  0.9628274795553983
(p,q)= 2 1 r =  1.070117023337154
(p,q)= 2 1 r =  0.850888799703096
(p,q)= 2 1 r =  0.8622428572076667
(p,q)= 2 1 r =  0.863339945534929

(p,q)= 2 2 r =  0.9979879287367842
(p,q)= 2 2 r =  0.9545242859387146
(p,q)= 2 2 r =  0.9583479803544412
(p,q)= 2 2 r =  0.9608084519986302
(p,q)= 2 2 r =  0.9859705267678546
(p,q)= 2 2 r =  0.88511482387949

(p,q)= 2 inf r =  0.8555074037463852
(p,q)= 2 inf r =  0.8527595212932385
(p,q)= 2 inf r =  0.810442131514777
(p,q)= 2 inf r =  1.223645302157134
(p,q)= 2 inf r =  1.280066987559192
(p,q)= 2 inf r =  1.0293431230537966

(p,q)= inf 1 r =  1.0273244781783681
(p,q)= inf 1 r =  0.9688172043010752
(p,q)= inf 1 r =  1.076774193548387
(p,q)= inf 1 r =  0.5650916104146576
(p,q)= inf 1 r =  0.572632058287796
(p,q)= inf 1 r =  0.5733606557377049

(p,q)= inf 2 r =  1.0041963857237013
(p,q)= inf 2 r =  0.9604623567325362
(p,q)= inf 2 r =  0.9643098382519217
(p,q)= inf 2 r =  0.6380913647345835
(p,q)= inf 2 r =  0.6548019823354692
(p,q)= inf 2 r =  0.5878217710733455

(p,q)= inf inf r =  0.8608294930875575
(p,q)= inf inf r =  0.8580645161290323
(p,q)= inf inf r =  0.8154838709677419
(p,q)= inf inf r =  0.8126463700234192
(p,q)= inf inf r =  0.8501170960187353
(p,q)= inf inf r =  0.6836065573770492

(p,q)= fro 1 r =  0.9746136874893924
(p,q)= fro 1 r =  0.9191083518824666
(p,q)= fro 1 r =  1.0215261970866838
(p,q)= fro 1 r =  0.8326283694141485
(p,q)= fro 1 r =  0.8437387640856542
(p,q)= fro 1 r =  0.8448123084375723

(p,q)= fro 2 r =  0.9526722698062399
(p,q)= fro 2 r =  0.9111821815534735
(p,q)= fro 2 r =  0.9148322533962128
(p,q)= fro 2 r =  0.9401890998989497
(p,q)= fro 2 r =  0.9648111859970234
(p,q)= fro 2 r =  0.8661198887659884

(p,q)= fro inf r =  0.816661361019398
(p,q)= fro inf r =  0.8140382517227618
(p,q)= fro inf r =  0.7736423685545646
(p,q)= fro inf r =  1.197385361085827
(p,q)= fro inf r =  1.2525962134701878
(p,q)= fro inf r =  1.0072529881871841