推 davidtea:嗯哼 61.228.94.97 04/24
※ 引述《AaronSWAT (Aaron)》之銘言：
: 在課本215頁的Theorem 4.5 提到:
: Let V be a subspce of Rn having dimension k. Then any two of the following
: conditions about a subset S of V imply that S is a basis for V.
^^^^^^^^^^^^^^^^
兩行
三行^^
: (a) S is lin. independent.
: (b) S is a spanning set for V.
: (c) S contains exactly k vectors
: 所以只要滿足上面任一兩個 那S就是V的一個basis
: 可是216頁又提出三個判斷basis的步驟:
: (i) Show that B is contained in V.
: (ii) Show that B is lin. independent.
: (iii) Compute the dimension of V, and confirm that the number of vectors in
: B equals dim V.
: 第二和第三步驟 就已經和前一頁的(a),(c)符合 為什麼要有步驟一啊??
: 請指導...(拯救XD)
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