Solution
= Solution
For $u=(1,1,1)^T$, the <all-ones matrix> is $A=uu^T$, so $Au=3u$ and $Av=0$ whenever $v_1+v_2+v_3=0$. These subspaces have dimensions one and two and span $\mathbb R^3$. Thus \b[the <eigenvalues> are $3$ and $0$].
= Solution
For $u=(1,1,1)^T$, the <all-ones matrix> is $A=uu^T$, so $Au=3u$ and $Av=0$ whenever $v_1+v_2+v_3=0$. These subspaces have dimensions one and two and span $\mathbb R^3$. Thus \b[the <eigenvalues> are $3$ and $0$].