`\a_j`为四阶行列式`\D`的第`\j`列,`\(j=1,2,3,4)`,且`\D=-5`,则`\| a_1 + a_2,a_2 + a_3,a_3 + a_4,a_4 - a_1| = ` ( )
A. -20
B. -10
C. 10
D. 20
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行列式\[D = \left| {\begin{array}{*{20}{c}} 2&4&{ - 1}&{ - 2}\\ { - 3}&7&{ - 1}&4\\ 5&{ - 9}&2&7\\ 2&{ - 5}&1&2 \end{array}} \right|\]的值 ( )
A. 8
B. 9
C. 10
D. 11
行列式\[D = \left| {\begin{array}{*{20}{c}} 3&{ - 1}&0&7\\ 1&0&1&5\\ 2&3&{ - 3}&1\\ 0&0&1&{ - 2} \end{array}} \right|\]的值 ( )
A. 60
B. 61
C. 120
D. 122
解方程\[\left| {\begin{array}{*{20}{c}} 2&2&{ - 1}&3\\ 4&{{x^2} - 5}&{ - 2}&6\\ { - 3}&2&{ - 1}&{{x^2} + 1}\\ 3&{ - 2}&1&{ - 2} \end{array}} \right| = 0\],则`\x = ` ( )
A. `\ \pm 1`或者`\ \pm 6 `
B. `\ \pm 2`或者`\ \pm 6 `
C. `\ \pm 2`或者`\ \pm 3 `
D. `\ \pm 1`或者`\ \pm 3 `
若一个`\n`阶行列式中等于零的元素多于`\n^2 - n`个,则该行列式的值为 ( )
A. -1
B. 0
C. 1
D. 2