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研究所、轉學考(插大)◆工程數學
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110年 - 110 國立中央大學_碩士班招生考試_光電類：工程數學#105768
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(12) (10pt) Calculate the matrix function
, where the matrix M is defined as
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(3) Give two common solutions to deal with the sctuid-on problem in UNIX.
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(4) What are masquerading and replay attack?
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(5) What is the purpose of authentication? What is non-repudiation?
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Part B. Solving the following problems(50%)(每一大題10分,請務必寫出計算過程) (11) (10pt) Find the rank of A:
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(13)(10pt )For a quadratic form Q = xTAx, if for any nonzero we always have Q ＞0, then this quadratic form is positive definite. For n=3 and , is the quadratic form Q=x TAx positive definite?
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(a) (5pt) Express the surface equation in the form f(x, y,z) =1. Find f(x,y,z).
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(b) (5pt) Find the unit normal vector of the surface at an arbitrary point.
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15. (10pt) Find the Fourier transform of the function:
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(a) Prepare the journal entries required for the depot and the environmental liability on January 1, 2015.
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(b) Prepare any journal entries required for the depot and the environmental liability on December 31, 2015. BBB uses straight-line depreciation； the estimated residual value for the depot is zero.
#450248
, where the matrix M is defined as
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, where the matrix M is defined as