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

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3 30 Points Given An Orthonormal Set Of Column Vectors U U2 Rn And A Set Of Scalars Ao A A2 R Let H A 1 (43.68 KiB) Viewed 11 times

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.