Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix.−1 32  − 121

Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix.−1 32  − 121(a) the characteristic equationλ2−14​=0 (b) the eigenvalues (Enter your answers from smallest to largest.)(𝜆1, 𝜆2) =  −12​,12​ a basis for each of the corresponding eigenspacesx1  =  ⟨1,1⟩ x2  =  ⟨3,1⟩

a) Find the eigenvalues and the associated eigenvectors of the matrixA = [7 0 −3−9 −2 318 0 −8]

(a) Find the eigenvalues, eigenvectors and eigenspaces forA =1 0 53 6 02 0 10

Find the Eigen values and corresponding linearly independent Eigen vectors.1.4 6 61 3 21 4 3       

Matrix A has characteristic polynomial p(𝜆) = (−45 − 𝜆)(5 − 𝜆)(27 − 𝜆).A = −3 4 32 4 3 −1632 −16 −13Given this information, find the spectral form of A, i.e. A = QΛQT