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109年 - 109 國立臺灣大學_碩士班招生考試_資訊工程學研究所:數學(含線性代數和離散數學)#105828
> 申論題
4. (10%) Derive the solution for a
n
that satisfies the recurrence equation
相關申論題
5. (10%) The generating function in partial fraction decomposition for the above recurrence equation is___________ .(Note that expressions like are not partial fraction decompositions.)
#450915
6. (10%) Prove the following inequality: where 2≤n.
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7. (10%) If the polynomial function f(x) = ax4 + bx3+ cx2 + dx+ e satisfies, then a,6, c, d,e are______,_______ ,_________,________,_________, respectively.
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8.(10%) The nullities of the matrices BBT - λ I for λ = 0,1,2,3,4 are______,_______ ,_________,________,_________, respectively.
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9.(10%) Let Let The numbers of elements -2, -1,0, 1, 2 in a matrix B with are______,_______ ,_________,________,_________, respectively.
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10. (10%) Ifthen the numbers of elements -2, -1 0, 1, 2 in a matrix B withare______,_______ ,_________,________,_________, respectively.
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11. (10%) The numbers of elements 0, 1, 2, 3, 4 in a Jordan normal form of the matrixare______,_______ ,_________,________,_________, respectively.
#450921
4.4 With regard to the code in Problem 4.3, explain what the forwarding unit is doing during the sixth cycle of execution. If any comparisons are bcing made, mention them.
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(1) Using 2014 as the base year and fix the basket at 1 good X and 3 good Y. Calculate the consumer price index for each year, and compute the percentage change in the overall price level. (5%)
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(2) Using 2014 as the base year. Calculate the GDP deflator for each year, and compute the percentage change in the overall price level. (5%)
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110年 - 110 國立臺灣大學_碩士班招生考試_資訊工程學研究所:數學(含線性代數、離散數學)#102151
110年 · #102151
109年 - 109 國立臺灣大學_碩士班招生考試_資訊工程學研究所:數學(含線性代數和離散數學)#105828
109年 · #105828
108年 - 108 國立臺灣大學_碩士班招生考試_資訊工程學研究所:數學(含線性代數和離散數學)#106050
108年 · #106050