Question: Let A, B, C, and D be n ( n matrices with A invertible. a. Find matrices X and Y to produce the block LU

Let A, B, C, and D be n ( n matrices with A invertible.
a. Find matrices X and Y to produce the block LU factorization
Let A, B, C, and D be n ( n

And then show that

Let A, B, C, and D be n ( n

b. Show that if AC = CA, then

Let A, B, C, and D be n ( n

A B C D 0 0 A B C D 8]= det (det A ) . det(D-CA-I B) A C B | = det(A)-CB) D

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