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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)[reply]

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)[reply]

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
Anita5192 (talk) 00:26, 20 October 2017 (UTC)[reply]