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简答题 设
为向量空间
的子空间, 
为的一个基, 
. 证明: 
也是的基的充分必要条件是
学科：默认课程
时间：2025-12-02 07:05:44
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题目1简答题
若<img src="https://tihai-oss-cloud.itihey.com/img/73629a7b5c96648d4a0d5f4d09feec1b.png">, 则<img src="https://tihai-oss-cloud.itihey.com/img/a74cd0105eb53a790f912e62b28f42cf.png">是<img src="https://tihai-oss-cloud.itihey.com/img/e85a49d4374ade6d6423722c86d09959.png">的基题目2简答题
设<img src="https://tihai-oss-cloud.itihey.com/img/66f6de8778fb50914cb0ce033cbc6a7c.png">为向量空间<img src="https://tihai-oss-cloud.itihey.com/img/dc7a242055fc473a15f5ee23f9d2c880.png">的子空间, <img src="https://tihai-oss-cloud.itihey.com/img/72484f6d161122e63cde3475b0695b7c.png">为<img src="https://tihai-oss-cloud.itihey.com/img/66f6de8778fb50914cb0ce033cbc6a7c.png">的一个基, <img src="https://tihai-oss-cloud.itihey.com/img/b28605635994f62606fa7ada7ab60028.png">. 证明: <img src="https://tihai-oss-cloud.itihey.com/img/8e23deaca381fe3fd9e8146284b0b5d2.png">也是<img src="https://tihai-oss-cloud.itihey.com/img/66f6de8778fb50914cb0ce033cbc6a7c.png">的基的充分必要条件是<img src="https://tihai-oss-cloud.itihey.com/img/b4f4cbc0ae309ba74e94c0fd46b938e6.png">题目3简答题
讨论<img src="https://tihai-oss-cloud.itihey.com/img/9b3cd85ae90600d725085e2a84479b5a.png">取什么值时, 线性方程组<img src="https://tihai-oss-cloud.itihey.com/img/f55832cac68aecc189d45a7007843b71.png">有解? 在有解的情形, 求一般解题目4简答题
讨论<img src="https://tihai-oss-cloud.itihey.com/img/1918d65b5b15ac6ae048979607ad9c8a.png">取什么值时下列方程组有解, 并求解: <img src="https://tihai-oss-cloud.itihey.com/img/0c3e85eb9a5f59b06586260c66e29aa0.png">题目5单选题
The police finally caught up with the man ______ was the escaped prisonerA. who they thoughtB. whom they thoughtC. they thought himD. that they thought him
题目6单选题
______ knows the name of this song will receive a prize from the radiostationA. WhoeverB. ThoseC. Whichever peopleD. Any people
题目7单选题
______ do you believe is not about to support our planA. WhomB. WhoC. WhomeverD. Which
题目8单选题
He didn't know French, ______ made it difficult for him to study at a university in FranceA. thatB. asC. thisD. which
题目9单选题
She is a fine singer, ______ her mother used to be. a. like b. that c. as d. whichA. likeB. thatC. asD. which
题目10单选题
______, I realize that I owe a debt to my early country lifeA. Lover of towns I amB. As lover of townsC. Lover of towns as am ID. Though am I the lover of towns
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