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Maths - Matrix algebra - Discussion

By: s_ludwig ( Sven Ludwig )
img the tilde matrix and the vector cross product  
2003-08-26 22:27

Hi,

I just read

http://www.euclideanspace.com/maths/algebra/matrix/index.htm#tilde

about the tilde matrix and have a remark.

If

v = r x w, (1)

and

v = [~r] w (2)

, then the expression in terms of a matrix formed
of the elements of w should imo. be written as

v = -[~w} r (3)

, so the tilde notation expresses the same as in (2)
and the change of sign in the elements of the matrix
is given with an additional minus sign in front
of the matrix.

Best Regards,

Sven

By: martinbaker ( Martin Baker )
img RE: the tilde matrix and the vector cross product  
2003-08-27 08:26

Sven,

Thanks, yes I agree, I have updated the webpage to make this clearer.

Martin


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Can you help?

Please send me any improvements to here. I would appreciate ideas to make the pages more useful including error correction, ideas for new pages, improvements to wording. It helps if you quote the full URL of the page.

I need to expand to cover the following topics:

  • Unit matrix
  • Symmetric and skew-symmetric
  • Adjoint and Reciprocol
  • Orthogonal and unitary
  • Scale
  • Translation
  • Orthogonal
  • Rigid
  • Congruent
  • Affine
  • multiply by scalar
  • multiply by vector

if [I][a] = [a] does [a][I] = [a] ?

if [b][b]-1=[I] does [b]-1[b] =[I] ?

Terminology and Notation

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