段正敏主編《線性代數(shù)》習(xí)題解答

1、線性代數(shù)習(xí)題解答線性代數(shù)習(xí)題解答1張應(yīng)應(yīng)張應(yīng)應(yīng)胡佩胡佩201331目錄第一章行列式................................................................................................................1第二章矩陣.............................................................

2、....................................................22第三章向量組的線性相關(guān)性.......................................................................................50第四章線性方程組.........................................................

3、.............................................69第五章矩陣的相似對角化...........................................................................................91第六章二次型...............................................................

4、.............................................114附錄：習(xí)題參考答案.......................................................................................................1291教材：段正敏，顏軍，陰文革:《線性代數(shù)》，高等教育出版社，2010。2再根據(jù)條件得：311322333xpxqx

5、pxqxpxq??????????????原行列式333123123123=3()33()0xxxxxxpxxxqq????????????.（7）設(shè)有行列式100132xxx?=0，則x=1，2；解：2231032(1)(2)001xxxxxxx????????12x??.（8）設(shè)?)(xf444342343331242221131211aaaxaaxaaxaaxaaa，則多項(xiàng)式)(xf中3x的系數(shù)為0；解：按第一列展開1111212

6、1313141()fxaAaAaAxA????，112131AAA中最多只含有2x項(xiàng)，?含有3x的項(xiàng)只可能是41xA????12134141222433343123413242233132234122433(1)aaxxAxaxaxaaxxaaaaaaxaaaaaa?????????????????????41xA不含3x項(xiàng)，?()fx中3x的系數(shù)為0.（9）如果330020034564321x=0，則x=2；解：12346543122