C2, if A act on C2, where A = [a1a2], αγ = (-3, 2), a2 = (-1, – 5) = a₂ Ο λ = -4 + i, (1 - i, 2); λ = -4 – i, (1 + i, 2) Ο λ=4-i, (1 + i, 2) ; λ = 4 + i, (1 – i, 2) - Ο λ = -4 + i, (1 + i, 2) ; λ = -4 – i, [1 – i, 2) Ο λ=4-i, (1 – i, 2) ; λ = 4 + i, [1 + i, 2) Ο λ = -3 + i, (2 + i, 5); λ = -3 – i, (2 – i, 5) = - Ο λ = 3 – i, (2 – i, 5) ; λ = 3 + i, (2 + i, 5)

Find the eigenvalues of A= [1,2,0],[1,2,-1],[0,0,4]

Find all of the eigenvalues of the matrix A over the complex numbers C. Give bases for each of the corresponding eigenspaces. A = 4-1-1 = 1+i has eigenspace span has eigenspace span × !- (2-value with smaller imaginary part) (2-value with larger imaginary part)

Please answer all subparts to show that it is continuous. Thanks