Function: factrix - take out common scalar factors from a matrix or vector

Calling sequence:

factrix(M);

Parameters:

M - a Matrix, Vector, matrix, vector, list or listlist, or an expression that evaluates to one of these under evalm .

Description:

Examples:

> factrix(matrix([[3/4*t^2,6*t^3],[9*q*(t+t^4),3/7*t]]));

> factrix(Matrix([[3/4*t^2,6*t^3],[9*q*(t+t^4),3/7*t]]));

Note that evaluating this result puts the constant factor 3/28 back into the Matrix.

> %;

But using convert(..., list) we can separate the factors.

> convert(factrix(Matrix([[3/4*t^2,6*t^3],[9*q*(t+t^4),3/7*t]])),list);

A purely numeric factor can't be taken out of a list:

> factrix([2/3,4/3]);

But it would work for a vector:

> factrix(vector([2/3,4/3]));

Some more complicated factors:

> factrix(matrix([[x^2+x, x^3+x^2],
[x^3+2*x^2+x, x^3+3*x^2+3*x+1],
[w*x^2+2*w*x+w, 3*x+2+x^2]]));

> factrix(vector([1+sqrt(2),3+2*sqrt(2)]));

Removing a floating-point factor:

> factrix([15.3*x,15.3*x*y]);

However, 4.6 and 2.3 are not recognized as related.

> factrix([4.6*x,2.3*x]);

Try converting to rational first:

> factrix(convert([4.6*x,2.3*x],rational));

See also: array , dot , factor , list , matrix , Matrix , vector , Vector

Maple Advisor Database R. Israel, 1998