※ 引述《huskybaby (哈士奇)》之銘言:
: which of the following questions are TRUE or FALSE?Why?
: (1)When the optimal solution of a LP model is over determined, it means at least one of the constraints is redundant and vice versa.
: (2)the system BX=b has infinity of solutions if B is singular, and b is dependent relative to the vectors of B.
: 這兩題不太懂在問什麼,有人會解這兩小題嗎?
若B是奇異矩陣and b與B之向量為線性相關,則x有無限多解,T/F
ans:T
B非奇異矩陣
則可能有無解or無限組多解
rank(B|b)=rank(B)=m
rank(B|b)=/=rank(B)則無解
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