Let where all four blocks are n à n matrices. (a) If A11 and A22 are nonsingular,

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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.

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