Question: 42. If $$A = begin{bmatrix} A_{11} & A_{12} 0 & A_{22} end{bmatrix}$$ is a Z-matrix with positive diagonal elements, then A is an M-matrix if

42. If

$$A = \begin{bmatrix}

A_{11} & A_{12}\\

0 & A_{22}

\end{bmatrix}$$

is a Z-matrix with positive diagonal elements, then A is an M-matrix if and only if A11 and A22 are M-matrices.

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