Question: Problem 6 (5 points). Let C : Rnxn Rnxn be a linear map. We call A E C an eigenvalue and V E Cnn an

Problem 6 (5 points). Let C : Rnxn Rnxn be a
Problem 6 (5 points). Let C : Rnxn Rnxn be a linear map. We call A E C an eigenvalue and V E Cnn an eigenmatrix of L, if C(V) = AV. Suppose C(X) = AXA + X where A E Rnxn. Find eigenvalues and eigenmatrices of L in terms of eigenvalues and eigenvectors of A

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