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轉學考-線性代數
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92年 - 92 淡江大學 轉學考 線性代數#56121
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題組內容
3.
(b) Find Rank(A). (5points)
其他申論題
【已刪除】12.淡疆保險公司隨機抽出1200位大學生，並針對他們對人壽保險商品的偏好的做問卷調查，並得出如下的偏好列聯表 試在α = 0.05的顯著水準下，檢定大學生對人壽保險商品的偏好，是否存在性別差異? (11%)
#213184
【已刪除】1. Let A= • Find det(A). (10 points)
#213185
2. LetT: R3 → R2 be a linear transformation and T(l，0，0)=(l，-2)，T(l,l,0)=(l,3), T(0,0，l)=(2，-1). Find T(x，y，z). (10 points)
#213186
(a) Find general solutions of AX=0. (10 points)
#213187
【已刪除】4. Let P=. Show that P is invertible and find p-1 .(10 points)
#213189
5. Let T : P2 → R2 be deflned by T(a+bx+cx2) = (a-b,c+a) and B={1, x,x2}，D={(1,-1)，(0，1)}. Find the matrix of T corresponding to the ordered bases B and D. (10 points)
#213190
6. Suppose that {x, y} is a linearly independent set in a vector space V. Show that if T : V -＞ W is a" one -to-one linear transformation, then {T(x+2y), T(2x-y)} is also linearly independent. (10 points)
#213191
(a) Find the characteristic polynomial of A. (5points)
#213192
(b) Find an invertible matrix P such that p-1 AP is diagonal. (10 points)
#213193
8. Given line L: x=z-y=y-z in R3, let P(x,y,z) be the orthogonal projection of (x,y,z) on L. Find P(x,y,z). (10 points)
#213194
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