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高二数学 | 高级数学
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1.1 Determinant Expension 行列式的展开


Calculate the values of the following determinant.
计算下列各行列式之值

[1]

\left|\begin{matrix}2&4\\-1&-2\\\end{matrix}\right|

Answer:
0
[2]

\left|\begin{matrix}10&14\\1&-3\\\end{matrix}\right|

Answer:
-44
[3]

\left|\begin{matrix}8&-1&3\\6&5&4\\1&-3&7\\\end{matrix}\right|

Answer:
345
[4]

\left|\begin{matrix}1&2&1\\0&1&1\\2&-1&2\\\end{matrix}\right|

Answer:
5
[5]

\left|\begin{matrix}-2&1&-1\\4&-1&2\\6&2&3\\\end{matrix}\right|

Answer:
0
[6]

\left|\begin{matrix}4&7&7\\5&4&3\\1&0&4\\\end{matrix}\right|

Answer:
–83
[7]

\left|\begin{matrix}-1&1&1\\1&-1&1\\1&1&-1\\\end{matrix}\right|

Answer:
4
[8]

\left|\begin{matrix}1&1&1\\p&q&p+q\\q&p&0\\\end{matrix}\right|

Answer:
0
[9]

\left|\begin{matrix}5&-7&4&8\\9&-13&10&12\\7&-10&16&11\\4&-6&3&7\\\end{matrix}\right|

Answer:
0
[10]

\left|\begin{matrix}0&3&6&1\\6&2&4&0\\1&1&-2&-3\\-5&0&1&2\\\end{matrix}\right|

Answer:
-23