Question: (a) Show that if D is a diagonal matrix with nonnegative entries on the main diagonal, then there is a matrix S such that S2

(a) Show that if D is a diagonal matrix with nonnegative entries on the main diagonal, then there is a matrix S such that S2 = D.
(b) Show that if A is a diagonalizable matrix with nonnegative eigenvalues, then there is a matrix S such that S2 = A.
(c) Find a matrix S such that S2 = A, if

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