Question: 24. Let i (i = 1,2,..., r) be the nonzero characteristic roots of an mx m symmetric matrix A. Show that i (i

24. Let λ_i (i = 1,2,..., r) be the nonzero characteristic roots of an mx m symmetric matrix A. Show that λ_i (i = 1, 2, ..., r) are the nonzero characteristic roots of A'.

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24. Let i (i = 1, 2, ..., r) be the nonzero characteristic roots of an m x m symmetric matrix A. Show that i -1 (i = 1, 2, ..., r) are the nonzero characteristic roots of A -1 .

24. Let i (i = 1,2,..., r) be the nonzero characteristic roots of an mx m symmetric matrix A. Show that i (i = 1, 2, ..., r) are the nonzero characteristic roots of A'.

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