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104年 - 104 國立交通大學_碩士班考試入學試題_資訊聯招:線性代數與離散數學#113284
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題組內容
4. In the following questions, just give the answer, do not give any explanation.
(b) (4 points) Find the number of ways in which nine identical blocks can be given to four children, if the oldest child gets at most three blocks.
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(c) (4 points) Suppose A is a set with n symbols, IAI = n. Find the number of symmetric binary relations on A.
#484118
(d) (4 points) How many non-isomorphic simple undirected graphs with 5 vertices and 3 edges?
#484119
(a) (2 points) Which statements are always false?
#484120
(b) (2 points) Which statements are al ways true?
#484121
(c) (2 points) Which statements are equivalent to the statement (B)?
#484122
(d) (2 points) What does the statement (L) imply about L?
#484123
6. (5 points) Assume A, B, and C are respectively m✕p, p✕q, and q✕n matrices, and M = ABC. Let Mkl = akcl for 1 ≤ k ≤ p and 1 ≤ l ≤ q, here ak and cl respectively denote the k-th column vector of A and the I-th row vector of C. Prove that
#484124
(a) (4 points) Find the matrix representation of L with respect to the bases B1 and B2.
#484125
(b) (4 points) Find the (coordinate) transition matrix from the basis B2 to the basis B3.
#484126
(e) (4 points) Solve
#484127
相關試卷
104年 - 104 國立交通大學_碩士班考試入學試題_資訊聯招:線性代數與離散數學#113284
104年 · #113284