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研究所、轉學考(插大)◆線性代數
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110年 - 110 國立臺灣大學_碩士班招生考試_部分系所:線性代數(C)#100943
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題組內容
3.
, Compute the following determinants:
(a) det(A).(4%)
其他申論題
(c) Find an orthogonal matrix Q and diagonal matrix such that QTAQ = A. (10%)
#423022
( a) One solution.(7%)
#423023
(b) No solution. (7%)
#423024
(c) Infinitely many solutions. (6%)
#423025
(b)(4%)
#423027
(c)det(AT A). (4%)
#423028
(d) det(AT - A).(8%)
#423029
4. Suppose A and B are n x n matrices. A is symmetric and B is skew symmetric. Determine if AB is symmetric, skew symmetric, both, or neither. Either give a proof, or find an example. (10%)
#423030
5. Let V be a 2-dimensional subspace of and ν1●ν2 = 2. Let u = v1 - 2ν2 . Find ||ull.(10%)
#423031
6. Is L a linear transformation? Why or why not? (10%)
#423032
, Compute the following determinants:
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, Compute the following determinants: