I have tried to start with mathematical induction, but it does not seem to work. Could you please help me? Thank you in advance.
2026-04-24 13:15:24.1777036524
Find all eigenvalues of the n-order square matrix $A$ in complex number whose all entries equal 1
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One eigenvalue is $n$, with eigenvector $v_1=(1,1, ...,1)^T$. The other $n-1$ many eigenvalues are all $0$, any vector perpendicular to $v_1$ is an eigenvector.