[線代] 線代(18)
Let T: M_{n╳n}(R) ---> M_{n╳n}(R) be the mapping defined by
T(A) = A^t, the transpose of A.
(1) Find the eigenvalues of T.
(2) For the case n=2, find an order basis S for M_{2╳2}(R)
such that the matrix representation of T in S, [T]_S, is
a diagonal matrix.
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