Problem #2: Consider the following matrix A and column vectors K₁, K₂, and K3. Problem #2(a): Problem #2(b): A = K₁ = 622 6 2 2 6 2 2 -6 5 1 4 K₂ -5 K3 -1 = Verify that K₁, K2₂, and K3, are eigenvectors of the matrix A, and find the corresponding eigenvalues. Then use these eigenvectors, in the given order, along with the Gram-Schmidt process (where needed) to construct an orthogonal matrix P from these eigenvectors. (a) Enter the eigenvalues corresponding to K₁, K₂, and K3 (in that order) into the answer box below, separated by commas. (b) Enter the values in the first row of the matrix P into the answer box below, separated by commas. Enter your answer symbolically, as in these examples

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