Question: Let where all four blocks are n à n matrices. (a) If A11 and A22 are nonsingular, show that A must also be nonsingular and

Let
Let where all four blocks are n × n matrices. (a) If

where all four blocks are n × n matrices.
(a) If A11 and A22 are nonsingular, show that A must also be nonsingular and that A-1 must be of the form

Let where all four blocks are n × n matrices. (a) If

(b) Determine C.

A11 A12 O A22

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