Image(M) = Returns a basis for the image/range of matrix M

Image(M) = Returns a basis for the image/range of matrix M:

Returns a list of column vectors forming a vector space basis for the range space of M. This uses the RREF(M) Reduced Row Echelon Form of matrix M to find the pivotal columns of M and returns those columns of M. A vector is in the range space of M iff it is a linear combinations of the returned column vectors.

See: FINDING A BASIS FOR THE KERNEL OR IMAGE -- From Mel Hochster, University of Michigan

Return to Matrix and Polynomial Computations
Return to Harry's Home Page

---

This page accessed times since September 18, 2006.
Page created by: hjsmithh@sbcglobal.net
Changes last made on Monday, 06-Aug-07 20:22:46 PDT

---