《线性代数(经管类)》(课程代码04184)校考试题答案.doc

《线性代数(经管类)》(课程代码04184) 第一大题：单项选择题 1、设行列式=1 , =2, 则= (??D?? ) HTMLCONTROL Forms.HTML:Option.1 A.—3 HTMLCONTROL Forms.HTML:Option.1 B.—1 HTMLCONTROL Forms.HTML:Option.1 C.1 HTMLCONTROL Forms.HTML:Option.1 D.3 2、 设A为3阶方阵，且已知|-2A|=2，则|A|=（　?B 　） ? HTMLCONTROL Forms.HTML:Option.1 A.—1 HTMLCONTROL Forms.HTML:Option.1 B. HTMLCONTROL Forms.HTML:Option.1 C. HTMLCONTROL Forms.HTML:Option.1 D.1 3、设矩阵A，B，C为同阶方阵，则=__B__ HTMLCONTROL Forms.HTML:Option.1 A. HTMLCONTROL Forms.HTML:Option.1 B. HTMLCONTROL Forms.HTML:Option.1 C. HTMLCONTROL Forms.HTML:Option.1 D. 4、设A为2阶可逆矩阵，且已知? =? ，则A=（　D　　） HTMLCONTROL Forms.HTML:Option.1 A. HTMLCONTROL Forms.HTML:Option.1 B. HTMLCONTROL Forms.HTML:Option.1 C. HTMLCONTROL Forms.HTML:Option.1 D. 5、设A为m×n矩阵，则齐次线性方程组=0仅有零解的充分必要条件是（　A　　） HTMLCONTROL Forms.HTML:Option.1 A.A的列向量组线性无关 HTMLCONTROL Forms.HTML:Option.1 B.A的列向量组线性相关 HTMLCONTROL Forms.HTML:Option.1 C.A的行向量组线性无关 HTMLCONTROL Forms.HTML:Option.1 D.A的行向量组线性相关 6、已知，是非齐次线性方程组=b的两个不同的解，，是其导出组=0的一个基础解系，，为任意常数，则方程组=b的通解可以表为（　A　） HTMLCONTROL Forms.HTML:Option.1 A. HTMLCONTROL Forms.HTML:Option.1 B. HTMLCONTROL Forms.HTML:Option.1 C. HTMLCONTROL Forms.HTML:Option.1 D. 7、设3阶矩阵A与B相似，且已知A的特征值为2，2，3 则 ||=?? (??A?? ) HTMLCONTROL Forms.HTML:Option.1 A. HTMLCONTROL Forms.HTML:Option.1 B. HTMLCONTROL Forms.HTML:Option.1 C.7 HTMLCONTROL Forms.HTML:Option.1 D.12 8、设A为3阶矩阵，且已知|3A+2E|=0，则A必有一个特征值为（　A 　） HTMLCONTROL Forms.HTML:Option.1 A. HTMLCONTROL Forms.HTML:Option.1 B. HTMLCONTROL Forms.HTML:Option.1 C. HTMLCONTROL Forms.HTML:Option.1 D. 9、二次型?? 的矩阵为（　　C 　） HTMLCONTROL Forms.HTML:Option.1 A. HTMLCONTROL Forms.HTML:Option.1 B. HTMLCONTROL Forms.HTML:Option.1 C. HTMLCONTROL Forms.HTML:Option.1 D. 10、设A为三阶方阵且|A|=-2,则 （　D　　） HTMLCONTROL Forms.HTML:Option.1 A.—108 HTMLCONTROL Forms.HTML:Option.1 B.—12 HTMLCONTROL Forms.HTML:Option.1 C.12 HTMLCONTROL Forms.HTML:Option.1 D.108 11、如果方程组 有非零解,则 k=（　B? ） HTMLCONTROL Forms.HTML:Option.1 A.—2 HTMLCONTROL Forms.HTML:Option.1 B.—1