3. (30 points) Given an orthonormal set of column vectors {u₁, u2} € Rn and a set of scalars {ao, a₁, a2} € R, let H = a
Posted: Wed Jul 06, 2022 12:04 pm
3. (30 points) Given an orthonormal set of column vectors {u₁, u2} € Rn and a set of scalars {ao, a₁, a2} € R, let H = ao + ₁₁ + a₂U₂u²/² 1. Prove or disprove that H is symmetric. 2. Determine all eigenvalues and associated eigenvectors of H. 3. Prove or disprove that H is diagonalizable.