Let A, B, C, and D be n x n matrices with A invertible. a. Find matrices X and Y to produce the block LU factorization [a })=[{ ЯТЕ B B D and then show that det Ĉ BI= (det A) · det(D – CA-' B) b. Show that if AC = CA, then [¿ 5] det = det(AD – CB) – CB) D

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