> solve( {x + y + 5*z + 2*t = 1, x + y + 3*z + 4*t = -3, 2*x + 3*y + 11*z + 5*t = 2, 2*x + y + 3*z + 2*t = -3}, [x, y, z, t])


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A := <<1,1,1>|<1,2,-4>|<-3,-1,7>>;

> V:=abs(Determinant(A));



> a:=<<2,-1>|<-5,4>>;



> b:=<<-5,4>|<3,1>>;



> c:=<<3,1>|<2,-1>>;



> s:=sqrt((Determinant(a))^2+(Determinant(b))^2+(Determinant(c))^2);



> h:=V/s;



Geom 13-bet 3-masala

> with(Student[LinearAlgebra]):

A := <<-3,-6,0>|<4,8,0>|<0,5,5>>;

> Determinant(A);

> det(A)=0;

> S(ABC):=25/2;



> S(BCD):=50/2;



> S:=S(ABC)+S(BCD);



Geom 15-bet 1-masala

> simplify(x+3/(-2)-(y-2)/3=0);

> solve({3*x+2*y+5=0, 2*x-3*y-6=0},[x,y]);



> solve({(-3+x)/2=-3/13},[x]);



> solve({(2+y)/2=-28/13},[y]);



Geom 15-bet 2-masala

> A0B0:=(2*x-y+1=0);

> A0C0:=(x+3*y=0);



> solve({A0B0,A0C0}, [x,y]);



> B0C0:=(-x+y+2=0);



> solve({A0B0,B0C0},[x,y]);



> solve({A0C0,B0C0},[x,y]);



> k:=2;



> C0:=(1.5,-0.5);



> A:=simplify(y+0.5-2*(x-1.5));



> 2*A;



> k:=-1/3;



> B0:=(-3,-5);



> b:=simplify(y+5+1/3*(x+3));



> 3*b;

> c:=simplify(y-1/7-x-3/7);



> 7*c;




Geom 21-bet 3-masala

> A:=Vector[row]([3,-1,5]);



> B:=Vector[row]([3,-2,4]);



> AK:=Vector[row]([x+2,y-3,z+2]);



> with(Student[LinearAlgebra]):




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