Question: 52. Let the n x n matrix A be defined by A = $$ begin{bmatrix} I_1 & 0 B & I_2 end{bmatrix} $$ where

52. Let the n x n matrix A be defined by A =

$$

\begin{bmatrix}

I_1 & 0 \\

B & I_2

\end{bmatrix}

$$

where B is an n1 x n2 matrix and the size of the other submatrices are thus determined. Show that A-1 exists and find it.

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