| 释义 |
Jacobi's Determinant IdentityLet
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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