Function: math[dependent] - checks whether vectors are linearly dependent

Calling Sequence:

dependent(v1, ...);
dependent(M);

Parameters:

v1, ... - one or more vectors

M - a matrix

Description:

In the first form, math/dependent determines whether one or more vectors are linearly dependent. It returns true if the vectors are dependent, and false otherwise.

In the second form, the function checks whether the column vectors in a matrix are linearly dependent and returns true or false.

This function is part of the math package, and so can be used only after performing the command with(math) or with(math, dependent).

Examples:

> with(math):

> dependent(V(1, 0));

[Maple Math]

> dependent(V(1, 0), V(0, 0));

[Maple Math]

> dependent(mat(`1 0; 0 0`));

[Maple Math]

See Also:

Version History:

Version 1.0 - September 13, 1998