首頁 > 線上測驗 > 100年研究所工程數學歷屆試題(工數2)機械所.機電所.土木環工.化工材料(二年期) > 100年國立交通大學加速器光源科技工程數學
Which of the following sets is vector space?
The set of all m× n matrices where m and n are fixed.
The set of all vectors [a,b,c] such that 3b − 4c = 7a
The set of all functions of the form f (x) = asin(x) + bcos(x) ,
where a and b are arbitrary constants
None of these
Construct an orthonormal basis from vectors [1,2,1], [1,0,1] and [3,1,0] by using the
Gram-Schmidt process.
A 1/4-kg mass is attached to a spring with stiffiness 4 N/m. The damping constant b
for the system is 1 N-sec/m. If the mass is displaced 1/2 m to the left and given an
initial velocity of 1 m/sec to the left, find the equation of motion. What is the
maximum displacement that the mass will attain?
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