高等代数-通识教育学习通超星期末考试答案章节答案2024年

高等代数-通识教育学习通超星期末考试章节答案2024年/star3/origin/febf475c5e31cb375020d8f71c5f4fc8.png

答案:20/star3/origin/e6da692b9560f5edc85d7889735a7975.png

答案:1/star3/origin/34e07a0318c9a04c57b3d4087cf0ee71.png

答案:正定经正交替换后，新旧二次型的矩阵之间是（

）关系。

答案:既合同又相似/star3/origin/dc60f7bd228ee73eaa3e5a867ee083b4.png

答案:D/star3/origin/63cccb27a0ef5bd9ee9b55b94493306f.png

答案:14/ohfMIFH44HORvasXTiYCqg==/6599281984052422974.png

答案:2设n阶实对称矩阵A的特征值分别为:1,2,…,n,则当t____时,tE-A为正定矩阵(E为n阶单位矩阵)。

答案:>n/X0i4IOwGUEH1WFhLROWTyg==/6608898312747659924.png

答案:有个线性无关的特征向量关于实对称矩阵的性质，以下说法错误的是（

）.

答案:实对称矩阵的特征向量都为实向量/star3/origin/03794abbfc1906b1a042937d241057b0.png

答案:错/star3/origin/4caa97c51cf2465ba0caad7a2aa8c3f5.png

答案:对/star3/origin/02a8f48f806471f0dc50a7b7b7151548.png

答案:2/star3/origin/bff0c33eeba4cc6a2ec49684ba122bd4

答案:1/4QRI30JkP7V6jj57tHynuQ==/6608641027026760798.png

答案:当时，必有非零解/star3/origin/391a26b068068a15d06e8325f9de8ceb.png

答案:1/star3/origin/73c6682c0b5991de55cd3b30383ce088.png

答案:-96/star3/origin/540ae4250c5a81e8486d894ce48a8113.png

答案:-16设A、B均为n阶非零矩阵,且AB=O,则R(A)和R(B)满足(

)。

答案:都小于n。/6ehCuvHw_aW4la2lalfnqg==/6619505301421164532.png

答案:的余子式和代数余子式互为相反数/star3/origin/e1f887ac817063bf160dc8a6e392940a

答案:对/star3/origin/99daca00410dce774bdde0d4ee42d60c.png

答案:-20/star3/origin/dddaf8abd7fa5c70713bfee3d2ce2c0a.png

答案:3/star3/origin/e56a182dec3601d62db2319aed80b1b4.png

答案:1/star3/origin/f42dc6ac43ab6447747e98f5b9ec1e8c.png

答案:-1或4;-1or4；-1,4/star3/origin/c14e34030e0a2aa526c7dcda98709271.png

答案:120/star3/origin/8baf97bf08e88573dd5d89fc005ccf38.png

答案:3/star3/origin/7bedc2e202621727ac62d406446b7321.png

答案:-4/star3/origin/9815fa686ab5a8a9d926162128d69322.png

答案:对/star3/origin/c0f143679fe63da06361da764a1796d9.png

答案:0/star3/origin/8c799c64b0f80de805439c7c18861554.png

答案:-1/star3/origin/36e7284b93bba637bb9d3cb4c443565c.png

答案:-10/star3/origin/1996f0727f53022d3be91f5095bdc879.png

答案:2/star3/origin/74f1001d9dbefd23e7dcabdaf668d835.png

答案:或/star3/origin/b1c0c31b9cc140bd09c63987d8409d99.png

答案:充分必要条件/star3/origin/9dad1bbc6b92c00328e027a825568c7f.png

答案:27/star3/origin/68929f639145e5d76f1ead4c0ad4fc5c.png

答案:时,秩;/star3/origin/e92d4341659d5960ab32c28271a7ccc8.png

答案:由A的行列式不为0可得B的行列式也不为0/star3/origin/b72e15d09aa13019f228ffab2c4c8730.png

答案:且/star3/origin/72fddeef180c138c156e52ba58f7d180.png

答案:B/star3/origin/e50dd918cf150239ab06cc32db6f6391.png

答案:2/star3/origin/dee7944f72c26a211e02ff06a8989af0.png

答案:-2/star3/origin/f26d566fc758c2a641cc2a255c65466b.png

答案:可能线性相关指出下述论断正确的是(

).

答案:若线性无关,则其中每一个向量都不是其余向量的线性组合/star3/origin/ad0fdd9c6fac3e7dd458fc8f19e9d330.png

答案:10/star3/origin/a5ed770f68b9157b2756414a22eaec21.png

答案:2E-A/3C1vspvZuJuRDYfmQ8RvUQ==/6608764172330168359.png

答案:与均与对角矩阵相似/star3/origin/4778119ca288c881eac1d9c8f8f127a2.png

答案:2/star3/origin/2c6f3f91eaa0377c3cc8bdb28bfde964.png

答案:0/star3/origin/71bb9b2b1899cb6b2c063a5839eeb2a5.png

答案:

/star3/origin/522a82a6217906e83a15c0ac08041cc7.png

答案:不存在/star3/origin/9693d9703edba87aa98f3496cd4411a4.png

答案:错/star3/origin/4f9b34e1bdab3d4a07771a387043803c.png

答案:错/star3/origin/b0d09fa2aefb0b645eae3120651acb41.png

答案:错不同向量在同一组基下的坐标可以相同(

)

答案:错同一向量在不同基下的坐标必然不同

(

)

答案:错/star3/origin/ee3023bbd891b15c40f56d