Question: 40. Show that C is nonsingular where C is defined by $$C = begin{bmatrix} A & 1 1' & 0 end{bmatrix}$$ and A is

40. Show that C is nonsingular where C is defined by

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

and A is defined in Prob. 38.

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