Matriceshard
0:00.0

For the symmetric matrix A=(3113)A = \begin{pmatrix} 3 & 1 \\ 1 & 3 \end{pmatrix} with eigenvalues λ1=4\lambda_1 = 4 and λ2=2\lambda_2 = 2, the spectral decomposition is A=λ1v1v1T+λ2v2v2TA = \lambda_1 v_1 v_1^T + \lambda_2 v_2 v_2^T where viv_i are orthonormal eigenvectors. Which vector is a valid orthonormal eigenvector for λ1=4\lambda_1 = 4?