- #1
mnb96
- 715
- 5
Hello,
it is known that given two column vectors u and v with N entries, the quantity uvT is a NxN matrix, and such operation is usually called outer product (or tensor product).
My questions are:
1) How can we test whether or not a matrix M is expressible as an outer product of two vectors, that is M=uvT ?
2) Is the identity matrix expressible as an outer product of two (eventually complex) vectors?
Thanks.
it is known that given two column vectors u and v with N entries, the quantity uvT is a NxN matrix, and such operation is usually called outer product (or tensor product).
My questions are:
1) How can we test whether or not a matrix M is expressible as an outer product of two vectors, that is M=uvT ?
2) Is the identity matrix expressible as an outer product of two (eventually complex) vectors?
Thanks.