Let A be an m x m matrix partitioned as A = rank (A) = rank...

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Let A be an m x m matrix partitioned as A = rank (A) = rank (A11) = m₁. 1.2.1 Show that A22 = A21A₁ A12. 1.2.2 Use the result of part 1.2.1 to show that B = A. A11 A12 A21 A22 (0) (0) (0) where A₁ is m₁ x m₁ and (8) is a generalised inverse of (8) Let A be an m x m matrix partitioned as A = rank (A) = rank (A11) = m₁. 1.2.1 Show that A22 = A21A₁ A12. 1.2.2 Use the result of part 1.2.1 to show that B = A. A11 A12 A21 A22 (0) (0) (0) where A₁ is m₁ x m₁ and (8) is a generalised inverse of (8)

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121 A 7 1et TS tet All A12 A21 A22 122 All A22 A21 A12 0 A1 A22 A21 A12 A22 To show ... View the full answer