Guest Session: 1 Question Remaining. Create Account to save progress.
Login
Matriceshard
0:00.0

For the symmetric matrix A=(3113)A = \begin{pmatrix} 3 & 1 \\ 1 & 3 \end{pmatrix}A=(31​13​) with eigenvalues λ1=4\lambda_1 = 4λ1​=4 and λ2=2\lambda_2 = 2λ2​=2, the spectral decomposition is A=λ1v1v1T+λ2v2v2TA = \lambda_1 v_1 v_1^T + \lambda_2 v_2 v_2^TA=λ1​v1​v1T​+λ2​v2​v2T​ where viv_ivi​ are orthonormal eigenvectors. Which vector is a valid orthonormal eigenvector for λ1=4\lambda_1 = 4λ1​=4?