“Jacobi's Determinant Identity”的概念、定义、习题解题方法及翻译-数学辞典

单词

Jacobi's Determinant Identity

释义

Jacobi's Determinant Identity

Let

			(1)
			(2)

where B and

are

Matrices. Then

(3)

The proof follows from equating determinants on the two sides of the block matrices

(4)

where I is the Identity Matrix and O is the zero matrix.

References

Gantmacher, F. R. The Theory of Matrices, Vol. 1. New York: Chelsea, p. 21, 1960.

Horn, R. A. and Johnson, C. R. Matrix Analysis. Cambridge, England: Cambridge University Press, p. 21, 1985.

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