<Text-field style="Heading 1" layout="Heading 1">Newton's method for a 2x2 system</Text-field> SShyZXN0YXJ0RyUqcHJvdGVjdGVkRw== LUkld2l0aEc2IjYjSS5MaW5lYXJBbGdlYnJhR0Yk 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 print(); 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Zio2JEkieEc2IkkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCgqJiIjNSIiIkYkRi1GLUYmISIiIiM/Ri5GJUYlRiU= PkkjZjJHNiJmKjYkSSJ4R0YkSSJ5R0YkRiQ2JEkpb3BlcmF0b3JHRiRJJmFycm93R0YkRiQsJkYnIiIiKiYsJiIiKkYtKiQpRiciIiNGLUYtRi1GKEYtRi1GJEYkRiQ= Zio2JEkieEc2IkkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCZGJCIiIiomLCYiIipGKyokKUYkIiIjRitGK0YrRiZGK0YrRiVGJUYl print(); Zio2JEkieEc2IkkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCZGJCIiIiomLCYiIipGKyokKUYkIiIjRitGK0YrRiZGK0YrRiVGJUYl Jacobian matrix: 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 Zio2JEkieEc2IkkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUknTWF0cml4R0YlNiUiIiNGLTwmLzYkRi1GLS0tJkkiREdGJTYjRi02I0kjZjJHRiU2JCYlJWFyZ3NHNiMiIiImRjpGNS82JEY8RjwtLSZGNEY7NiNJI2YxR0YlRjgvNiRGPEYtLS1GM0ZDRjgvNiRGLUY8LS1GQkY2RjhGJUYlRiU= print(); Zio2JEkieEc2IkkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUknTWF0cml4R0YlNiUiIiNGLTwmLzYkRi1GLS0tJkkiREdGJTYjRi02I0kjZjJHRiU2JCYlJWFyZ3NHNiMiIiImRjpGNS82JEY8RjwtLSZGNEY7NiNJI2YxR0YlRjgvNiRGPEYtLS1GM0ZDRjgvNiRGLUY8LS1GQkY2RjhGJUYlRiU= Stop iteration when difference between consecutive iterates is less than: PkkqdG9sZXJhbmNlRzYiIyIiIiIsKysrKysi IyIiIiIsKysrKysi print(); IyIiIiIsKysrKysi print(); Maximum number of iterations: PkkiTkc2IiIkKyI= IiQrIg== print(); IiQrIg== Start values: PkkiWEc2Ii0mSSdWZWN0b3JHRiQ2I0knY29sdW1uR0YkNiMvSSQlaWRHRiQiKSMqXGE8 LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpIypcYTw= print(); LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpIypcYTw= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzZnbi1JI21pR0YkNiVRJGZvckYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi9RMSZJbnZpc2libGVUaW1lcztGJy8lJWZvcm1HUSZpbmZpeEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y+LyUnbHNwYWNlR1EvdGhpY2ttYXRoc3BhY2VGJy8lJ3JzcGFjZUdGQy8lKXN0cmV0Y2h5R0Y+LyUqc3ltbWV0cmljR0Y+LyUobWF4c2l6ZUdRKWluZmluaXR5RicvJShtaW5zaXplR1EiMUYnLyUobGFyZ2VvcEdGPi8lLm1vdmFibGVsaW1pdHNHRj4vJSdhY2NlbnRHRj4tRiw2JVEiaUYnRi9GMkY1LUYsNiVRJWZyb21GJ0YvRjJGNS1JI21uR0YkNiRGTy9GM1Enbm9ybWFsRidGNS1GLDYlUSN0b0YnRi9GMkY1LUYsNiVRIk5GJ0YvRjJGNS1GLDYlUSNkb0YnRi9GMi1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EnMC4wfmV4RicvJSZ3aWR0aEdRJzAuMH5lbUYnLyUmZGVwdGhHRmlvLyUqbGluZWJyZWFrR1EobmV3bGluZUYnLUYsNiVRIUYnRi9GMi1GIzYwLUY2Ni9GOC9GOkZkcEY8Rj8vRkJRJDBlbUYnL0ZFRltxRkZGSEZKRk1GUEZSRlRGZ3AtRiw2JVEnRGVsdGFYRidGL0YyRjUtRjY2L1EjOj1GJ0Y5RjxGP0ZBRkRGRkZIRkpGTUZQRlJGVEY1LUY2Ni9RKCZtaW51cztGJ0Y5RjxGP0ZqcEZccUZGRkhGSkZNRlBGUkZULUY2Ni9GOEY5RjxGP0ZqcEZccUZGRkhGSkZNRlBGUkZULUYsNiVRLk1hdHJpeEludmVyc2VGJ0YvRjItRjY2L1EwJkFwcGx5RnVuY3Rpb247RidGOUY8Rj9GanBGXHFGRkZIRkpGTUZQRlJGVC1JKG1mZW5jZWRHRiQ2Iy1GIzYlRmJwLUYjNiUtRiw2JVEiSkYnRi9GMkZbci1GX3I2Iy1GIzYoLUYsNiVRIlhGJ0YvRjItRl9yNiUtRiM2I0Zmbi8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJy1GNjYvUSIsRidGOUY8L0ZARjFGanAvRkVRM3Zlcnl0aGlja21hdGhzcGFjZUYnRkZGSEZKRk1GUEZSRlRGXHMtRl9yNiUtRiM2Iy1GZ242JFEiMkYnRmluRmNzRmZzRmJwRmJwLUY2Ni9RIi5GJ0Y5RjxGP0ZqcEZccUZGRkhGSkZNRlBGUkZULUYjNiVGYnAtRiM2JS1GNjYvRmVzL0Y6USdwcmVmaXhGJy9GPUYxRj8vRkJRLnRoaW5tYXRoc3BhY2VGJy9GRUZjdS9GR0YxRkhGSkZNRlBGUkZULUYjNiVGYnAtSSdtdGFibGVHRiQ2JC1JJG10ckdGJDYjLUkkbXRkR0YkNiMtRiM2JUZicC1GIzYlLUYsNiVRI2YxRidGL0YyRltyRmhyRmJwLUZcdjYjLUZfdjYjLUYjNiVGYnAtRiM2JS1GLDYlUSNmMkYnRi9GMkZbckZockZicEZicC1GNjYvRmhzL0Y6UShwb3N0Zml4RidGYXVGP0ZidS9GRVEydmVyeXRoaW5tYXRoc3BhY2VGJ0ZldUZIRkpGTUZQRlJGVEZicEZicC1GNjYvUSI7RidGOUY8Rlx0RmpwRkRGRkZIRkpGTUZQRlJGVEZkb0ZncEZncEZcc0Y1RmBxLUY2Ni9GOEY5RjxGPy9GQlEwbWVkaXVtbWF0aHNwYWNlRicvRkVGX3hGRkZIRkpGTUZQRlJGVEZcc0ZceC1GNjYvUScmcGx1cztGJ0Y5RjxGP0ZeeEZgeEZGRkhGSkZNRlBGUkZULUY2Ni9GOEY5RjxGXHRGanBGREZGRkhGSkZNRlBGUkZURl1xRml3RmRvRmdwRmdwLUYsNiVRI2lmRidGL0YyLUY2Ni9GOEY5RjxGXHRGanBGXXRGRkZIRkpGTUZQRlJGVC1GIzYlLUYsNiVRK1ZlY3Rvck5vcm1GJ0YvRjJGW3ItRl9yNiMtRiM2JUZdcUZpc0ZjdEY1LUY2Ni9RIjxGJ0Y5RjxGP0ZBRkRGRkZIRkpGTUZQRlJGVEZkeC1GLDYlUSp0b2xlcmFuY2VGJ0YvRjJGZHgtRiw2JVEldGhlbkYnRi9GMkZkeC1GLDYlUSZicmVha0YnRi9GMkZpd0Zkb0ZncEZncC1GLDYlUSRlbmRGJ0YvRjJGZHhGZnhGaXdGZG9GYHpGZHhGYW9GaXdGZG9GYnA= LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpY10lKj0= LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpV1tTPA== LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIoU3M7KQ== LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpc0F3PA== LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpI2ZpeCI= LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpN09RPQ== LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpS0l3PA== LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpS0RDPA== print(); LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpS0RDPA==
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn Number of iterations: SSJpRzYi IiIl print(); IiIl Check answer: LUkjZjFHNiI2JCZJIlhHRiQ2IyIiIiZGJzYjIiIj JCIiIUYj print(); JCIiIUYj LUkjZjJHNiI2JCZJIlhHRiQ2IyIiIiZGJzYjIiIj JCIjPyEiIg== print(); JCIjPyEiIg== LUkrVmVjdG9yTm9ybUc2IjYkSSdEZWx0YVhHRiQiIiM= JCIiIUYj print(); JCIiIUYj SSJpRzYi IiIl print(); IiIl LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn