課程名稱︰線性代數二
課程性質︰數學系大一必修
課程教師︰翁秉仁
開課學院：理學院
開課系所︰數學系
考試日期︰2010年06月11日(五)，11:20-12:10
考試時限：50分鐘
是否需發放獎勵金：是
試題 :
Linear Algebra Quiz
2010/06/11
1. (30pt) The eigenvalues of ┌ a b ┐ are a ±bi whose corresponding
└ -b a ┘
eigenvectors are complex vectors. How about its SVD (singular value
decomposition)?
2. (40pt) Let A = ┌ 1 0 -1 ┐.
└ 2 0 -2 ┘
(a) (30pt) Find the pesudo-inverse A^+ of A.
(b) (10pt) Use tgus ti "solve" the euqation
x - z = 1
2x - 2z = 0
┌ 1 0 ┐
3. (30pt) Approximate the matrix ｜ 0 1 ｜ by its first singular value.
└ 1 1 ┘
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