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101年 - 101 國立交通大學_碩士班考試入學試題_電機工程學系：微分方程與線性代數#105738
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(b) (3%) How can you tell whether a matrix is invertible from its eigenvalues?
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(c) (3%) How can you tell whether two matrices are similar from their eigenvalues?
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4. (a) (8%) For the following matrix, find the bases for its row space and nullspace.
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(b) (3%) In R3, is xy plane orthogonal to xz plane ? Explain it.
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(a)
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(b)
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6. (10%) Consider the following second order ordinary differential equation:Determine the solution y(x) satisfying the conditions y"(0) = 1 and y""(0) = 0.
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(a) (5%) Find the Laplace transform of f(t) and determine its region of convergence.
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(b) (10%) Solve the above ordinary differential equation (1) for y(t)
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8. (15%) Let x(t) be a length-3 vector of functions in t that satisfies the following system of linear differential equations:Find the solution x(t).
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一、企業社會責任(corporate social responsibility,CSR)的概念提出來,一直 面對不同的觀點挑戰。尤其當全球經濟不景氣時,經濟與社會責任間的權衡似乎更顯衝突。你認為何謂企業社會責任?若你是國內某家超商集團CSR部門的管理者,將如何規劃公司的CSR活動?請說明你的理由·
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101年 - 101 國立交通大學_碩士班考試入學試題_電機工程學系：微分方程與線性代數#105738
101年 · #105738
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