- #1
zed123
- 1
- 0
helloo
while working on a combinatorics problem I have found the following result:
let [itex]A=(a_{ij})_{1\leq i,j\leq2n+1}[/itex] where n is a positive integer , be a real Matrix such that :
i) [itex] a_{ij}^2=1-\delta_{ij}[/itex] where [itex] \delta [/itex] is the kronecker symbol
ii) [itex] \forall i \displaystyle{ \sum_{j=1}^{2n+1}a_{ij}=0} [/itex]
then [itex]rankA=2n [/itex]
any idea ?
while working on a combinatorics problem I have found the following result:
let [itex]A=(a_{ij})_{1\leq i,j\leq2n+1}[/itex] where n is a positive integer , be a real Matrix such that :
i) [itex] a_{ij}^2=1-\delta_{ij}[/itex] where [itex] \delta [/itex] is the kronecker symbol
ii) [itex] \forall i \displaystyle{ \sum_{j=1}^{2n+1}a_{ij}=0} [/itex]
then [itex]rankA=2n [/itex]
any idea ?
Last edited: