Ononot — A real symmetric 3 \times 3 matrix A has spectral decomposit

Guest Session: 1 Question Remaining. Create Account to save progress.

Eigenvalues & Eigenvectorseasy

0:00.0

A real symmetric $3 \times 3$ matrix $A$ has spectral decomposition $A = \sum_{i=1}^3 \lambda_i \mathbf{u}_i \mathbf{u}_i^T$ where $\lambda_1 = 5$ , $\lambda_2 = -2$ , $\lambda_3 = -2$ , and $\mathbf{u}_1, \mathbf{u}_2, \mathbf{u}_3$ are orthonormal. Which expression equals $A^2$ ?