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> >;
********************************************************************************
GaussianElimination(A);
ReducedRowEchelonForm(A);
LinearSolve(A);
********************************************************************************
a:=0:
A:=< <1|1|5|7>, <1|-1|-1|-1>, <3|-2|(a^2+a)|a+1> >:
ReducedRowEchelonForm(A);
LinearSolve(A);
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a:=-1:
A:=< <1|1|5|7>, <1|-1|-1|-1>, <3|-2|(a^2+a)|a+1> >:
LinearSolve(A);
********************************************************************************
a:=25:
A:=< <1|1|5|7>, <1|-1|-1|-1>, <3|-2|(a^2+a)|a+1> >:
GaussianElimination(A);
Student[LinearAlgebra][LinearSystemPlot](A,title="", colors=[yellow,green,blue], orientation=[70,65]);
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)> >;
simplify(X);
B:= < <1|0|1|b[1]>, <1|1|2|b[2]>, <2|1|3|b[3]>, <b[1]|-b[2]|-b[3]|0>>;
GaussianElimination(B); ReducedRowEchelonForm(B); LinearSolve(B);
C:= < <1|0|1|b[1]>, <1|1|2|b[2]>, <2|1|3|b[3]> >;
GaussianElimination(C); ReducedRowEchelonForm(C); LinearSolve(C);
JSFH
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