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110年 - 110 國立中山大學_碩士班招生考試_電機系(己組):計算機結構#104305
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題組內容
5.[20%] Explain the following terms:
D. (4%) Out-of-order execution
相關申論題
E.(4%) Floating point
#441628
1. [10%] Let be a linearly independent sct in some vector space over C. Find all value(s) of forms a linearly independent set.
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(1) Prove that S is a subspace of R3.
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(2) Find a basis for this subspace S.
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(3) What is the dimension of S?
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(4) Let be a linearly independent subsct of S. What is the possible maxinal value of n?
#441633
3. [15%] Let T be the linear transform on the sct Mn(R) of n X n matrices over R defined as T(A) = (A+ At)/2, where At stands for the transpose of . Find all eigenvalues of
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4. [15%] Find the Jordan form of the matrix
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5. [15%] Let T : R3 → R3 be linear so that its matrix representation under some basis of R3isShow that there is no trivial invariant subspace for T.
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6. [15%] Let T:V →V be a lincar map, where Y is a vector space with dimension nh. Suppose that there exists some voe rctor Show that with respect to some basis of V, T has the matrix reprosentation of the form
#441637
相關試卷
110年 - 110 國立中山大學_碩士班招生考試_電機系(己組):計算機結構#104305
110年 · #104305