Let A, A 1 and X be symmetric matrices with components aij , a ij and xij

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Let A, A

−1 and X be symmetric matrices with components aij

, a ij and xij respectively. Show that the Taylor expansion for the log determinant of A + X about the origin may be written Describe the form of the general term in this expansion. Compare with Exercise 1.6 and generalize to asymmetric matrices.

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