1.1 - Tre ligninger med tre ubekendte: Delopgave a: restart: with(LinearAlgebra): A:=< <1|1|5|7>, <1|-1|-1|-1>, <3|-2|(a^2+a)|a+1> >;

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

******************************************************************************** GaussianElimination(A);

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

ReducedRowEchelonForm(A);

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

LinearSolve(A);

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

******************************************************************************** a:=0: A:=< <1|1|5|7>, <1|-1|-1|-1>, <3|-2|(a^2+a)|a+1> >: ReducedRowEchelonForm(A);

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

LinearSolve(A);

LUkobWFjdGlvbkc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYoLUklbXJvd0dGJDYnLUknbXRhYmxlR0YkNjctSSRtdHJHRiQ2Ji1JJG10ZEdGJDYoLUYvNiktSSNtbkdGJDYkUSIzRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnRkAvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkkvJSlzdHJldGNoeUdGSS8lKnN5bW1ldHJpY0dGSS8lKGxhcmdlb3BHRkkvJS5tb3ZhYmxlbGltaXRzR0ZJLyUnYWNjZW50R0ZJLyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGWC1GLzYpLUY9NiRRIjJGJ0ZALUZENi1RMSZJbnZpc2libGVUaW1lcztGJ0ZARkdGSkZMRk5GUEZSRlQvRldRJjAuMGVtRicvRlpGXm8tSSVtc3ViR0YkNiUtSSNtaUdGJDYlUSRfdDJGJy8lJ2l0YWxpY0dRJXRydWVGJy9GQVEnaXRhbGljRictRi82J0Y8LyUlc2l6ZUdRIzEyRicvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUpcmVhZG9ubHlHRklGQC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRl5wRmFwRmRwRkBGXnBGYXBGZHBGQC8lKXJvd2FsaWduR1EhRicvJSxjb2x1bW5hbGlnbkdGW3EvJStncm91cGFsaWduR0ZbcS8lKHJvd3NwYW5HUSIxRicvJStjb2x1bW5zcGFuR0ZicUZpcEZccUZecS1GNTYmLUY4NigtRi82KS1GPTYkUSI0RidGQEZDLUYvNilGPEZqbkZgb0ZecEZhcEZkcEZARl5wRmFwRmRwRkBGaXBGXHFGXnFGYHFGY3FGaXBGXHFGXnEtRjU2Ji1GODYoRmBvRmlwRlxxRl5xRmBxRmNxRmlwRlxxRl5xLyUmYWxpZ25HUSVheGlzRicvRmpwUSliYXNlbGluZUYnL0ZdcVEnY2VudGVyRicvRl9xUSd8ZnJsZWZ0fGhyRicvJS9hbGlnbm1lbnRzY29wZUdGaW8vJSxjb2x1bW53aWR0aEdRJWF1dG9GJy8lJndpZHRoR0Zhcy8lK3Jvd3NwYWNpbmdHUSYxLjBleEYnLyUuY29sdW1uc3BhY2luZ0dRJjAuOGVtRicvJSlyb3dsaW5lc0dRJW5vbmVGJy8lLGNvbHVtbmxpbmVzR0ZcdC8lJmZyYW1lR0ZcdC8lLWZyYW1lc3BhY2luZ0dRLDAuNGVtfjAuNWV4RicvJSplcXVhbHJvd3NHRkkvJS1lcXVhbGNvbHVtbnNHRkkvJS1kaXNwbGF5c3R5bGVHRkkvJSVzaWRlR1EmcmlnaHRGJy8lMG1pbmxhYmVsc3BhY2luZ0dGaXNGXnBGYXBGZHBGQEZAL0krbXNlbWFudGljc0dGJFEqQ29sVmVjdG9yRicvJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGX3UvJSthY3Rpb250eXBlR1EucnRhYmxlYWRkcmVzc0YnLyUpcnRhYmxlaWRHUSoxNjUyMjEzMzZGJw==

TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT a:=-1: A:=< <1|1|5|7>, <1|-1|-1|-1>, <3|-2|(a^2+a)|a+1> >: LinearSolve(A);

Error, (in LinearAlgebra:-LA_Main:-LinearSolve) inconsistent system

******************************************************************************** a:=25: A:=< <1|1|5|7>, <1|-1|-1|-1>, <3|-2|(a^2+a)|a+1> >: GaussianElimination(A);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKjsiXHU5

Student[LinearAlgebra][LinearSystemPlot](A,title="", colors=[yellow,green,blue], orientation=[70,65]);

6)-I)POLYGONSG6$%*protectedGI(_syslibG6"6$X,6"6"6"[gl'!%"!!#at"S"$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-I'COLOURG6"6&I$RGBG6"$"*++++"!")$"*++++"!")$""!""!-I)POLYGONSG6$%*protectedGI(_syslibG6"6$X,6"6"6"[gl'!%"!!#at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X:=< <1|0|0|3-(2*a)/(a^2+a)>,<0|1|0|4-(3*a)/(a^2+a)>,<0|0|1|a/(a^2+a)> >;

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

simplify(X);

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

B:= < <1|0|1|b[1]>, <1|1|2|b[2]>, <2|1|3|b[3]>, <b[1]|-b[2]|-b[3]|0>>;

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKjNyNmwi

GaussianElimination(B); ReducedRowEchelonForm(B); LinearSolve(B);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKis8Xmsi

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKkMhPVw7

Error, (in LinearAlgebra:-LA_Main:-LinearSolve) inconsistent system

C:= < <1|0|1|b[1]>, <1|1|2|b[2]>, <2|1|3|b[3]> >;

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKl92cHYi

GaussianElimination(C); ReducedRowEchelonForm(C); LinearSolve(C);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKndFSGsi

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKi8qXGc8

Error, (in LinearAlgebra:-LA_Main:-LinearSolve) inconsistent system

JSFH TTdSMApJNlJUQUJMRV9TQVZFLzE2NTExNzEwOFgsJSlhbnl0aGluZ0c2IjYiW2dsISIlISEhIzEiJSIlIiIiRiciIiMmJSJiRzYjRiciIiFGJ0YnLCQmRio2I0YoISIiRidGKCIiJCwkJkYqNiNGMUYwRilGLkYzRixGJg==TTdSMApJNlJUQUJMRV9TQVZFLzE2NDUxMTcwMFgsJSlhbnl0aGluZ0c2IjYiW2dsISIlISEhIzEiJSIlIiIiIiIhRihGKEYoRidGKEYoRidGJywoJiUiYkc2IyIiJCEiIiZGKzYjRidGLiZGKzYjIiIjRidGKEYvLCZGMUYnRi9GLiwoKiRGL0YzRi4qJEYxRjNGJyomRjFGJ0YvRidGLiwoRipGJ0YvRi5GMUYuRiY=TTdSMApJNlJUQUJMRV9TQVZFLzE2NDkxODAyNFgsJSlhbnl0aGluZ0c2IjYiW2dsISIlISEhIzEiJSIlIiIiIiIhRihGKEYoRidGKEYoRihGKEYnRihGKEYoRihGJ0YmTTdSMApJNlJUQUJMRV9TQVZFLzE3NTY5NzU1MlgsJSlhbnl0aGluZ0c2IjYiW2dsISIlISEhIy0iJCIlIiIiRiciIiMiIiFGJ0YnRidGKCIiJCYlImJHNiNGJyZGLDYjRigmRiw2I0YqRiY=TTdSMApJNlJUQUJMRV9TQVZFLzE2NDI5MjY3NlgsJSlhbnl0aGluZ0c2IjYiW2dsISIlISEhIy0iJCIlIiIiIiIhRihGKEYnRihGJ0YnRigmJSJiRzYjRicsJiZGKjYjIiIjRidGKSEiIiwoJkYqNiMiIiRGJ0YpRjBGLUYwRiY=TTdSMApJNlJUQUJMRV9TQVZFLzE3NjA0OTkwNFgsJSlhbnl0aGluZ0c2IjYiW2dsISIlISEhIy0iJCIlIiIiIiIhRihGKEYnRihGJ0YnRihGKEYoRidGJg==