Question: Euclidean inner product/ diagonalizable? Question 7. The linear operator L on R with the Euclidean inner product is defined by: -1 L(X) = AX, where

Euclidean inner product/ diagonalizable?

Question 7. The linear operator L on R with the Euclidean inner product is defined by: -1 L(X) = AX, where A = 1 1 1) Is L orthogonally diagonalizable? Justify your answer. 2) If L is orthogonally diagonalizable, find an orthonormal basis where the matrix of L is diagonal, the corresponding diagonal matrix and transition matrix

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