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- Eigenvalues of a matrix of $1$'s 3 answers
Write down all the eigenvalues (along with their multiplicities) of the matrix A = (aij ) ∈ Mn(R) where aij = 1 for all 1 ≤ i, j ≤ n.
My attempt ; first i take A = (aij ) ∈ M2(R) where aij = 1 for all 1 ≤ i, j ≤ 2. here i got Rank A =1 and nullity =1. i got the two eigenvalue ie, λ=1 and λ= 0.....in this pattern i find A = (aij ) ∈ Mn(R) i got two eigenvalue
with λ = 0 with multiplicity n − 1 and λ = 1 with multiplicity 1.
Is my answer is correct or not,,pliz verified my mistakes...