問10

次の行列が正値であるか、負値であるか、不定符号であるか、そのどれでもない か、判定せよ。

 (1) 		 
$\left(\begin{array}{rr}1 & 0  0 & 1\end{array}\right)$ (2) 		 
$\left(\begin{array}{rr}-1 & 0  0 & -2\end{array}\right)$		 (3) 		 
$\left(\begin{array}{rr}3 & 0  0 & -1\end{array}\right)$		 (4) 		 
$\left(\begin{array}{rr}2 & 3  3 & 1\end{array}\right)$

(5) 		 
$\left(\begin{array}{rr}3 & 2  2 & 3\end{array}\right)$		 (6) 		 
$\left(\begin{array}{rr}-3 & -2  -2 & -3\end{array}\right)$		 (7) 		 
$\left(\begin{array}{rr} 4& 2  2 & 1\end{array}\right)$		 (8) 		 
$\left(\begin{array}{rr} 0& 0  0 & 0\end{array}\right)$

(9) 		 
$\left( \begin{array}{rrr} 1 & 0 & 0  0 & 2 & 0  0 & 0 & 3 \end{array} \right)$ (10) 		 
$\left( \begin{array}{rrr} 1 & 0 & 0  0 & -2 & 0  0 & 0 & 3 \end{array} \right)$		 (11) 		 
$\left(\begin{array}{rrr} 3 & 2 & 0  2 & 3 & 0  0 & 0 & 1 \end{array}\right)$		 (12) 		 
$\left(\begin{array}{rrr} -3 & 2 & 0  2 & -3 & 0  0 & 0 & -3 \end{array}\right)$

(13) 		 
$\left( \begin{array}{rrr} 4 & 1 & 0  1 & 4 & 1  0 & 1 & 4 \end{array}\right)$