# 演習問題

$|\begin{array}{cccc}2& 4& -2& 1\\ -1& -1& 2& 3\\ 2& 6& 4& 2\\ 1& 3& 3& 9\end{array}|$

$|\begin{array}{cccc}3& 4& 2& 1\\ -1& -1& 2& 1\\ 2& 6& 4& 2\\ 1& 3& 3& 2\end{array}|$

$|\begin{array}{cccc}3& 2& -2& 1\\ 1& -1& 2& 1\\ 2& 6& -4& 2\\ 1& 2& 1& 2\end{array}|$

$|\begin{array}{ccc}x& 1& 1\\ 1& x& 1\\ 1& 1& x\end{array}|$

$\left|\begin{array}{ccc}1& a& {b}^{2}-{c}^{2}\\ 1& b& {a}^{2}-{c}^{2}\\ 1& c& {b}^{2}-{a}^{2}\end{array}\right|$

$\left|\begin{array}{cccc}x& x+1& x+2& x+3\\ x+1& x+2& x+3& x\\ x+2& x+3& x& x+1\\ x+3& x& x+1& x+2\end{array}\right|$

$\left|\begin{array}{cccc}1& x& {x}^{2}& {x}^{3}\\ x& {x}^{2}& {x}^{3}& 1\\ {x}^{2}& {x}^{3}& 1& x\\ {x}^{3}& 1& x& {x}^{2}\end{array}\right|$

$|\begin{array}{ccc}x-1& 1& x\\ 1& x-1& x\\ 1& 1& x-1\end{array}|$

$|\begin{array}{ccc}1& 1& x+1\\ 1& x+1& 1\\ x+1& 1& 1\end{array}|$

$\left|\begin{array}{cccc}x-1& 1& 1& 1\\ 1& x-1& 1& 1\\ 1& 1& x-1& 1\\ 1& 1& 1& x-1\end{array}\right|$

$\left|\begin{array}{cccc}1& 1& 1& x+1\\ 1& 1& x-1& x\\ 1& x+1& 1& x\\ x-1& 1& 1& x\end{array}\right|$

$\left|\begin{array}{cccc}x+1& 1& 1& x\\ 1& x+1& 1& x\\ 1& 1& x+1& x\\ 1& 1& 1& x+1\end{array}\right|$

$\left|\begin{array}{cccc}x+1& x-4& x+4& x+1\\ x+2& x-3& x+2& x+3\\ x-1& x-2& x-3& x-2\\ x+4& x-1& x-1& x-4\end{array}\right|$

$A=\left(\begin{array}{cccc}1& 2& 3& 4\\ 2& 3& 4& 6\\ 3& 4& 6& 9\\ 4& 6& 9& 10\end{array}\right)$

$\left\{\begin{array}{c}x+2y-3z=3\\ -2x-4y+z=4\\ 2x+y+z=4\end{array}\right\$

$\left\{\begin{array}{c}a-2b-c+2d=3\\ -2a+b+3c-2d=0\\ -a-b+2c+2d=1\\ 3a+4b-c+d=-2\end{array}\right\$

$\left\{\begin{array}{c}a+2b+2c-3d=-5\\ -2a+b-2c+2d=-2\\ -a-b+\mathrm{3c}-d=-2\\ -2a-2b+c+d=1\end{array}\right\$

$\left(\begin{array}{ccc}1& 2& 2\\ 2& 1& 2\\ 2& 2& 1\end{array}\right)$

$\left(\begin{array}{ccc}2& 3& 3\\ 3& 2& 3\\ 3& 3& 2\end{array}\right)$

$\left(\begin{array}{cccc}1& -2& -2& -2\\ -2& 1& -2& -2\\ -2& -2& 1& -2\\ -2& -2& -2& 1\end{array}\right)$

$\left(\begin{array}{cccc}2& 7& 7& 7\\ 7& 2& 7& 7\\ 7& 7& 2& 7\\ 7& 7& 7& 2\end{array}\right)$