Question: For the positive integer n > 1, let T: Mnn R be the linear transformation defined by T(A) = tr(A), for A an n

For the positive integer n > 1, let T: Mnn → R be the linear transformation defined by T(A) = tr(A), for A an n × n matrix with real entries. Determine the dimension of ker(T).

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The rank of T is at most 1 since dimR 1 and the image of T is a subsp... View full answer

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