If the diagonals of an nxn matrix are n, and the off-diagonals are 1, what are the eigenvector and eigenvalues?
a) Eigenvector: [1, 1, ..., 1], Eigenvalues: n
b) Eigenvector: [0, 1, 2, ..., n-1], Eigenvalues: n
c) Eigenvector: [n, n-1, ..., 1, 0], Eigenvalues: 1
d) Eigenvector: [1, 0, -1, ..., 1-n], Eigenvalues: n