阿摩線上測驗
登入
首頁
>
交大◆資工◆線性代數與離散數學
>
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
> 申論題
題組內容
4. In the following questions, just give the answer, do not give any explanation.
(d) (4 points) How many non-isomorphic simple undirected graphs with 5 vertices and 3 edges?
相關申論題
(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
8. (10 points) If A is a real symmetric matrix, find a matrix V such that VAVT = I. You need to prove your answer is correct.
#484128
(a) (9 points) Find an orthonormal basis for the subspace spanned by 1, x, and x2.
#484129
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
阿摩線上測驗
登入
阿摩線上測驗
登入