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1第一章行列式作业题专业姓名学号一.选择题1.若行列式x52231521=0,则x[c](A)2(B)2(C)3(D)32.下列构成六阶行列式展开式的各项中,取“+”的有[a](A)665144322315aaaaaa(B)655344322611aaaaaa(C)346542165321aaaaaa(D)266544133251aaaaaa3.如果1333231232221131211aaaaaaaaaD,3332313123222121131211111232423242324aaaaaaaaaaaaD,则1D[c](A)8(B)12(C)24(D)244.若111111111111101xA,则A中x的一次项系数是[d](A)1(B)1(C)4(D)45.如果0333231232221131211MaaaaaaaaaD,则3332312322211312111222222222aaaaaaaaaD=[c](A)2M(B)-2M(C)8M(D)-8M二、填空题1.排列36715284的逆序数是132.若54435231aaaaaji为五阶行列式带正号的一项,则i=2j=13.行列式1110110110110111-34.若方程225143214343314321xx=0,则x=25.行列式2100121001210012D56.设x1,x2,x3是方程30xpxq的3个根,则123312231xxxxxxxxx三、计算下列行列式:1.2.1111111111111111xxxx3.设行列式4321630211118751D,设jjAM44,分布是元素ja4的余子式和代数余子式,求44434241AAAA与44434241MMMM四设其次线性方程组有非零解,试确定a,b,c应满足何种条件。五k取何值时,线性方程组有唯一解?000321321321abxacxbcxcxbxaxxxx12341234123412342313633153510121xxxxxxxxxxkxxxxxx1123131122231101230122110
本文标题:行列式习题
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