Talk:Inverse element

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Mathematics rating:
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 Field: Algebra

left/right matrix inverse[edit]

I think the phrase

If the determinant of M is zero, it is impossible for it to have a one-sided inverse; therefore a left inverse or right inverse implies the existence of the other one.

is redundant, and not very clear, (IMHO):

  1. why det=0 => no one-sided inverse ?
  2. why "no one-sided inverse" => "l/r inverse implies existence of the other" ?
  3. more specifically, why is a left inverse matrix also is a right inverse ?

But as I already did some "cutting", I'll leave it for the moment... MFH 15:17, 5 Apr 2005 (UTC)

I disagree...

This problem stated on this page is slightly confusing to me:

The statement above that this "Is a singular matrix, and can't be inverted." is partly incorrect. An inverse is shown here:

This matrix is a left and right hand inverse (Moore-Penrose properties 1 and 2).

The null-space for this matrix is:

There are an infinite number of solutions to the underspecified or singular matrix. The calculations are not difficult and are described on the page. Should I create a wikipedia page to describe the algorithm?

The original matrix was:

Using the site online calculator, a pseudo-inverse is directly calculated:

The null space is the same as the above:

rand huso (talk) 18:08, 23 February 2008 (UTC)