#10424: Expand matrix augment'ing to allow vectors as input
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Reporter: rbeezer | Owner: jason, was
Type: enhancement | Status: new
Priority: minor | Milestone: sage-4.6.1
Component: linear algebra | Keywords:
Author: Rob Beezer | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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A common situation for augmenting a matrix is when a beginning student
might augment a coefficient matrix with a single (column) vector, and then
analyze the reduced row echelon form to uncover the nature of the solution
set. Right now the vector needs to be converted by hand into a matrix
with a single column (not trivial for a beginner).
This patch makes this possible easily. In detail, it:
1. Demotes the current `augment()` method to a helper method (so that
its optimized functionality is unchanged).
2. Makes a new `augment()` method. Its main purpose is to allow for
either a matrix or a vector as input, and then error-check and/or sanitize
the input for the helper function.
3. Documentation has improved, as written up on the new method, which is
what a user will see.
This work suggests two further possible improvements.
1. Add an option to subdivide the augmented matrix. An upcoming patch
will do this (and for `stack()` as well).
2. Coerce to a common parent, rather than coercing the elements of the
`other` matrix into the base ring of `self`.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10424>
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