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The Maxima on-line user's manual

Algebra Calculator

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Backsubst Calculator

Backsubst

-- Option variable: backsubst Default value: true

When backsubst is false, prevents back substitution in linsolve after the equations have been triangularized. This may be helpful in very big problems where back substitution would cause the generation of extremely large expressions.

eq_x: px + lambda * ux = qx + mi * vx;
eq_y: py + lambda * uy = qy + mi * vy;
eq_z: pz + lambda * uz = qz + ni * wz;
[backsubst: false];
linsolve([eq_y, eq_z, eq_x], [mi, ni, lambda]);

          (%i1) eq1 : x + y + z = 6$
          (%i2) eq2 : x - y + z = 2$
          (%i3) eq3 : x + y - z = 0$
          (%i4) backsubst : false$
          (%i5) linsolve ([eq1, eq2, eq3], [x,y,z]);
          (%o5)             [x = z - y, y = 2, z = 3]
          (%i6) backsubst : true$
          (%i7) linsolve ([eq1, eq2, eq3], [x,y,z]);
          (%o7)               [x = 1, y = 2, z = 3]

(%o1)                                true
(%i2) 

Backsubst Example

Related Examples

backsubst-linsolve_params-linsolvewarn-true

eq1: v=kcat*ES+k2*EIS;

eq2: E0=E+ES+EI+EIS;

eq3: k1*E*S-k11*ES-kc...

Calculate

backsubst-linsolve_params-linsolvewarn-true

eq1: v=kcat*ES+k2*EIS;

eq2: E0=E+ES+EI+EIS;

eq3: k1*E*S-k11*ES-kc...

Calculate

backsubst

? backsubst;

Calculate

backsubst-linsolve_params-linsolvewarn-true

eq1: v=kcat*ES+k2*EIS;

eq2: E0=E+ES+EI+EIS;

eq3: k1*E*S-k11*ES-kc...

Calculate

backsubst-linsolve_params-linsolvewarn-true

eq1: v=kcat*ES+k2*EIS;

eq2: E0=E+ES+EI+EIS;

eq3: k1*E*S-k11*ES-kc...

Calculate

backsubst-linsolve_params-linsolvewarn-true

eq1: v=kcat*ES+k2*EIS;

eq2: E0=E+ES+EI+EIS;

eq3: k1*E*S-k11*ES-kc...

Calculate

backsubst-linsolve_params-linsolvewarn-true

eq1: v=kcat*ES+k2*EIS;

eq2: E0=E+ES+EI+EIS;

eq3: k1*E*S-k11*ES-kc...

Calculate

backsubst-linsolve_params-linsolvewarn-true

eq1: v=kcat*ES+k2*EIS;

eq2: E0=E+ES+EI+EIS;

eq3: I0=I+EI+EISeq4: ...

Calculate

backsubst-linsolve_params-linsolvewarn-true

eq1: v=kcat*ES+k2*EIS;

eq2: E0=E+ES+EI+EIS;

eq3: k1*E*S-k11*ES-kc...

Calculate

backsubst-linsolve_params-linsolvewarn-true

eq1: v=kcat*ES+k2*EIS;

eq2: E0=E+ES+EI+EIS;

eq3: k1*E*S-k11*ES-kc...

Calculate