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Exercise 3.5.3

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Hint: we can use the last column expansion and the left matrix ${(A + tI)}_{i, j}$ is a triangular matrix. The final expression is $\det (A + tI) = a_{0} + a_{1} t + a_{2} t^{2} + . . . + a_{n - 1} t^{n - 1}$ . The order of $- 1$ in each term is even.

huangjing

2018-11-29 00:00

Exercise 3.5.3

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