From: qlli.illb@...
Date: 2014-07-19T15:39:08+00:00
Subject: [ruby-core:63879] [ruby-trunk - Feature #10073] [PATCH] Implement Laplace expansion for matrix.

Issue #10073 has been updated by gogo tanaka.


```
For all n * n matrix m,   k <- {1, 2, ..., n}.

m.laplace_expansion(k-1, :row) == m.laplace_expansion(k-1, :column) == m.det


It is important when we think about values contains not Scalar, like that.

Matrix[[Vector[1, 0], Vector[0, 1]], [2, 3]].laplace_expansion(0, :row)
=> Vector[3, -2]
```

This patch needs https://bugs.ruby-lang.org/issues/10068.

----------------------------------------
Feature #10073: [PATCH] Implement Laplace expansion for matrix.
https://bugs.ruby-lang.org/issues/10073#change-47903

* Author: gogo tanaka
* Status: Open
* Priority: Normal
* Assignee: 
* Category: 
* Target version: 
----------------------------------------
Laplace expansion has really important mathematical property.

We can handle many thing with this (determinant, cross product)

So I'm confident that this method is necessary.

But I recognize Ruby should be not for mathematician but rubyist.

Ruby doesn't need too academic method.

So If you think it is too academic you can ignore my patches.

gogo.

---Files--------------------------------
implement_Matrix#laplace_expansion.patch (3.31 KB)


-- 
https://bugs.ruby-lang.org/