Talk:Shear mapping

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Old question

Shear preserves all parallel lines as being parallel -- what is the name for a transform does not do this, turning a square into a trapezoid?

Re: shear matrix

I propose that this article and shear matrix be merged. Though that article was created with only two edits, it is a valuable resource on this topic. Only today did I learn of it and respond to the alert given by another editor. On the other hand, that article uses column vectors, instead of the in-line row vector approach. Since linear algebra depends on facility with both, this jump between pages gives some necessary exercise. Futhermore, the focus on two-dimensions at the outset, allows this article to be more introductory. In that view, the "fixed subspace form" section belongs more with shear matrix. Rgdboer 20:24, 4 September 2007 (UTC)[reply]

Moved here from Shear (mathematics)

Today I made the move and repaired most links in WP. If you find a reference to the old name, you're home now. The issue of row vector versus column vector continues to stand in the way of a merger with shear matrix; the value of ambidexterity being noted.Rgdboer 02:37, 14 November 2007 (UTC)[reply]

Return to row vectors

Someone using computer 147 94 187 222 located on cote d'azure near Marseille edited this page on 14 October 2008. The edit changed the matrix applications to column vectors. The editor is unidentified and gave no reason for the change; furthermore, there was some loss of sense in the text with the change. Today row vectors have been re-instated.Rgdboer (talk) 01:10, 20 January 2009 (UTC)[reply]

Matrices swapped

In the case of a shear parallel to the x-axis, the matrix is ${\begin{pmatrix}1&m\\0&1\end{pmatrix}}$ and a shear parallel to the y-axis therefore has the matrix ${\begin{pmatrix}1&0\\m&1\end{pmatrix}}$ . This has been corrected :) (Reference: http://store.aqa.org.uk/qual/pdf/AQA-MFP4-TEXTBOOK.PDF page 18) —Preceding unsigned comment added by Jambo6c (talk • contribs) 12:49, 19 March 2009 (UTC)[reply]