# 60. If A and B are defined as in Prob. 56, show that C is nonsingular, where...

## Question:

60. If A and B are defined as in Prob. 56, show that C is nonsingular, where

$$C = \begin{bmatrix} A & B \\ B' & 0 \end{bmatrix}$$

and show that

$$C^{-1} = \begin{bmatrix} A^{-1} & B' \\ B^{-1} & 0 \end{bmatrix}$$

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**Related Book For**

## Matrices With Applications In Statistics

**ISBN:** 9780534980382

2nd Edition

**Authors:** Franklin A Graybill