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LinKer |
Syntax |
LinKer(M:MAT):LIST where M is a matrix over Q or Z. |
Summary |
find the kernel of a matrix |
Description |
This function returns a list whose components are lists representing a Z-basis for the kernel of M. Calling the function twice on the same input will not necessarily produce the same output, though in each case, a basis for the kernel is produced. |
Example |
M := Mat([[1,2,3,4],[5,6,7,8],[9,10,11,12]]); LinKer(M); [[1, -1, -1, 1], [0, 1, -2, 1]] ------------------------------- M*Transposed(Mat(It)); Mat[ [0, 0], [0, 0], [0, 0] ] ------------------------------- |
See also: |