Thursday, 20 March 2014

linear algebra - Determinant of 3times3 block matrix

When I searched some properties of the determinant of block matrices, most results considered a 2×2 case. Let A,B,C be n×n matrices and I be an identity matrix of dimension n, and let X be defined as follows



(A00BI0CDI)




Assume that A is invertible. Then, what is det(X)?

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