Question: Let V = M22 and let L : V V be the linear operator defined by L(A) = AT, for A in V. Let S

Let V = M22 and let L : V †’ V be the linear operator defined by L(A) = AT, for A in V. Let S = {A1, A2, A3, A4}, where

(a) Find [L(Ai)]s for i = 1,2,3,4.
(b) Find the matrix B representing L with respect to 5.
(c) Find the eigenvalues and associated eigenvectors of B.
(d) Find the eigenvalues and associated eigenvectors of L?

0 10 00 0 10 00 0

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