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研究所、轉學考(插大)-基礎數學
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112年 - 112 國立政治大學_碩士班暨碩士在職專班招生考試試題_統計學系：基礎數學#130257
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題組內容
3. Find the following integrals:
(e) ∫ sin
5
x cos
2
xdx.
其他申論題
(a)
#552104
(b)
#552105
(c)
#552106
(d)
#552107
4. Find if tan= x + y.
#552109
5. Find the extreme value of the function f(x, y, z) = x + 2y + 3z subject to constraints x - y + z = 1 and x2 + y2 = 1.
#552110
(a) Find possible eigenvalues of A.
#552111
(b) Determine the rank of A.
#552112
7. Prove that if Q is an orthogonal matrix, then det(Q) = 1.
#552113
8. Let V and W be two vector spaces and let T : V → W denote a linear transformation. Suppose that N(T) and R(T) are null space and range of T, respectively. Show that N(T) and R(T) are subspaces of V and W, respectively.
#552114
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