linsolve(A,b)
(all versions of Jasymca),
or linsolve2(A,b)
(LAPACK, not in applet and midlet).
In both cases A is the quadratic matrix of the system of equations,
and b a (row or column) vector representing the right-hand-side
of the equations. The equations may be written as >> A=[2 3 1; 4 4 5; 2 9 3]; >> b=[0;3;1]; >> linsolve(A,b) ans = -0.25 -0.13636 0.90909 >> linsolve2(A,b) % not Applet or Midlet ans = -0.25 -0.13636 0.90909For large numeric matrices one should use the LAPACK-version if available. The Jasymca version can also handle matrices containing exact or symbolic elements. To avoid rounding errors in these cases it is advisable to work with exact numbers if possible:
>> syms x,y >> A=[x,1,-2,-2,0;1 2 3*y 4 5;1 2 2 0 1;9 1 6 0 -1;0 0 1 0] A = x 1 -2 -2 0 % symbolic element 1 2 3*y 4 5 % symbolic element 1 2 2 0 1 9 1 6 0 -1 0 0 1 0 0 >> b = [1 -2 3 2 4 ]; >> trigrat( linsolve( rat(A), b) ) ans = (-6*y-13/2)/(x+8) (20*y+(-9*x-151/3))/(x+8) 4 ((-3*x+10)*y+(-49/4*x-367/6))/(x+8) (-34*y+(13*x+403/6))/(x+8)