Show that any two eigenvectors of the symmetric matrix corresponding to distinct eigenvalues are orthogonal. -1 0-1 0-1 0 -1 0 3 Find the characteristic polynomial of A. |21-A| = Find the eigenvalues of A. (Enter your answers from smallest to largest.) (2₁, 22, 23)=1 Find the general form for every eigenvector corresponding to λ₁. (Uses as your parameter.) x₁ = Find the general form for every eigenvector corresponding to A2. (Use t as your parameter.) x₂ = Find the general form for every eigenvector corresponding to 23. (Use u as your parameter.) x3 = Find X₁ X2 X1 X₂= Find X₁ X3 X₁1 X3 = Find X₂ X2- x₂ * x3 = Determine whether the eigenvectors corresponding to distinct eigenvalues are orthogonal. (Select all that apply.) Ox, and x₂ are orthogonal. Ox, and x3 are orthogonal. Ox₂ and x3 are orthogonal.

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