Find all eigenvalues of the matrix A=(210031005)A = \begin{pmatrix} 2 & 1 & 0 \\ 0 & 3 & 1 \\ 0 & 0 & 5 \end{pmatrix}A=200130015.
λ=2,3,5\lambda = 2, 3, 5λ=2,3,5 (all real and distinct)
λ=2,3\lambda = 2, 3λ=2,3 (one repeated eigenvalue of multiplicity 2)
λ=2+i,3−i,5\lambda = 2 + i, 3 - i, 5λ=2+i,3−i,5
λ=1,2,3\lambda = 1, 2, 3λ=1,2,3