For each eigenvalue, find the dimension of the corresponding eigenspace. (Enter your answers as a comma-separated list.)dim(xi)

Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter your answers from smallest to largest. Do not list the same eigenvalue multiple times.)4 1 1 1 4 11 1 4𝜆i = 3, 16 For each eigenvalue, find the dimension of the corresponding eigenspace. (Enter your answers as a comma-separated list.)dim(xi) =

For each of the following matrices, and eigenvalue λ has been given.[ 0 4−1 5], λ = 4(a)[2 22 −1], λ = −2(b)3 1 −10 1 24 2 0, λ = 3(c)Find one eigenvector corresponding to the given eigenvalue

Which of the following could be the set of distinct eigenvalues for a real 3×33×3 matrix?  Select all that apply.{−2,2,5}{−2,2,5}{4−3i,5i,3i+4}{4−3i,5i,3i+4}{−3,1}{−3,1}{−2i,2i}{−2i,2i}{−2,3,−2i−4}{−2,3,−2i−4}{−2,4−3i,3i+4}{−2,4−3i,3i+4}{−5,1−6i,6i−1}

Let the matrix M =4 0 00 4 00 1 5.(a) (3pts) Find the characteristic equation and the eigenvalues.(b) (2pts) Determine the multiplicity for each eigenvalue of the matrix M

Find the eigen values and eigen vectors of A = [[1, 1, 3], [1, 5, 1], [3, 1, 1]]