Question: Let where A11 is a k à k nonsingular matrix. Show that A can be factored into a product where B = A21A11-1 and C

Let
Let where A11 is a k × k nonsingular matrix. Show

where A11 is a k × k nonsingular matrix. Show that A can be factored into a product

Let where A11 is a k × k nonsingular matrix. Show

where
B = A21A11-1 and C = A22 - A21A11-1A12

Ai A12 A2 A2 O C

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