Sunday, 8 September 2013

linear algebra - Eigenvalues of diagonal matrix

Problem:




Let ACn×n and let A be a diagonal Matrix with entries λ1,,λnC Determine spec(A*A)





I think it is clear that the spec (A *A) = {λ1,,λn}, as the eigenvalues of a diagonal matix are just the elements on the diagonal. Could someone appove my thoughts?

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