- #1
omaradib
- 7
- 0
Hi All,
This is not a homework or coursework question. Yet I have a curiosity.
If a matrix [tex]A[/tex] is an outer-product of a vector [tex]v[/tex] as : [tex]A = v v^{\top}[/tex]
Then can [tex]A^{-1}[/tex], inverse of [tex]A[/tex], be also expressed as an outer-product of some other vector?
Please point me how to approach the question, how to find the answer or how to say it is possible or not.
Thanks.
This is not a homework or coursework question. Yet I have a curiosity.
If a matrix [tex]A[/tex] is an outer-product of a vector [tex]v[/tex] as : [tex]A = v v^{\top}[/tex]
Then can [tex]A^{-1}[/tex], inverse of [tex]A[/tex], be also expressed as an outer-product of some other vector?
Please point me how to approach the question, how to find the answer or how to say it is possible or not.
Thanks.