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

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

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