Talk:Shift matrix
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Stub status
[edit]I've given this article stub status for the simple reason that I have little to say about the application of shift matrices. The article needs more discussion of eigenvalues and eigenvectors and the degeneracy of shift matrices; infinite shift matrices; their relevance to engineering problems etc. Dan Pope 02:58, 10 November 2006 (UTC)
Anita, here is proof that your edits are erroneous
[edit]Lets take the 3x3 upper shift matrix and call it U3.
[0,1,0]
[0,0,1]
[0,0,0]
Now we apply this after the following simple matrix we shall designate A:
[1,2,3]
[4,5,6]
[7,8,9]
AU3=
[0,1,2]
[0,3,4]
[0,7,8]
Notice the elements are shifted to the right.— Preceding unsigned comment added by 2001:48f8:29:0:74ae:e60d:6335:4c22 (talk) 19:29, 19 October 2017 (UTC)
- The real problem is that row vector in the lead should have been column vector, which was confusing. I have now corrected this. The action on column vectors is as follows:
- Let
- Then