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The Maxima on-line user's manual

Algebra Calculator

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Detout Calculator

Detout

-- Option variable: detout Default value: false

When detout is true, the determinant of a matrix whose inverse is computed is factored out of the inverse.

For this switch to have an effect doallmxops and doscmxops should be false (see their descriptions). Alternatively this switch can be given to ev which causes the other two to be set correctly.

Example:

          (%i1) m: matrix ([a, b], [c, d]);
                                      [ a  b ]
          (%o1)                       [      ]
                                      [ c  d ]
          (%i2) detout: true$
          (%i3) doallmxops: false$
          (%i4) doscmxops: false$
          (%i5) invert (m);
                                    [  d   - b ]
                                    [          ]
                                    [ - c   a  ]
          (%o5)                     ------------
                                     a d - b c

(%o1)                                true
(%i2) 

Detout Example

Related Examples

detout-false-fpprec-load-matrix-numer-ratepsilon-true

load ("vector_rebuild");

load("vect");

numer:false;

Calculate

detout-factor-invert-matrix

A: matrix([(M+m)*s^2,...

factor(invert(A)), de...

B: matrix([1,1],[0,1/...

Calculate

detout-false-fpprec-load-numer-ratepsilon-true

load ("vector_rebuild");

load("vect");

numer:false;

Calculate

detout-doallmxops-doscmxops-exp-false-invert-matrix-sqrt-true

M: matrix ([-1, -0.2,...

detout: true;

doallmxops: false;

Calculate

detout-false-fpprec-load-matrix-numer-ratepsilon-true

load ("vector_rebuild");

load("vect");

numer:false;

Calculate

detout-doallmxops-doscmxops-exp-false-invert-matrix-sqrt-true

M: matrix ([-1, -0.2,...

detout: true;

doallmxops: false;

Calculate

detout-false-invert-load-matrix

load(vect);

m:matrix([1,1],[1,-1]);

detout: false;

Calculate

detout-factor-invert-matrix

A: matrix([(M+m)*s^2,...

factor(invert(A)), de...

B: matrix([1,-1],[0,1...

Calculate

detout-factor-invert-matrix

A: matrix([(M+m)*s^2,...

B: matrix([1,1],[0,1/...

invert(A), detout;

Calculate