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<br>本課程已開放可以加簽，如還有需要加簽(電機系與電資院學生班優先)，請於本週內(9/19)上網簽選。
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<br>線性代數第一週採用線上上課，第一次上課時間是9月15號。
<br>上課時間：每週三，週五         10:10-12:10
<br>上課鏈接：https://meet.google.com/mbh-ttns-gvf
<br>如果疫情許可，第二週起將採線上/線下混合授課。詳情，請見第一次上課說明。
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<br>相關課程教材，可由國立清華大學 eeclass 數位學習平台取得。
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<br>RK
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<br>課程大綱
<br>Course Introduction,
<br>– Part I: Vectors Spaces and Linear Transformations
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<br>W27; Vector, Vector Space, Subspace, Chap. 1
<br>W27; Linear Combinations, Systems of Linear Equations, Chap. 1 
<br>W27; Linear Dependence and Linear Independence, Chap. 1
<br>W27; ba<x>se and Dimension, Chap. 1
<br>W27; Maximal Linearly Independent Subsets, Chaps. 1
<br>W27; Linear Transformations, Null Space, and Range, Chap. 2
<br>W27; Matrix Representation, Chap. 2
<br>W27; Composition, Invertibility and Isomorphisms, Chap. 2
<br>W27; Change of Coordinate Matrix, Chap. 2
<br>W27; Dual Spaces, Chap. 2
<br>W27; Midterm Exam I
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<br>– Part II: Matrix and Determinant W27; Matrix Operations, Chap. 3
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<br>W27; Rank of a Matrix, Chap. 3 W27; Matrix Inverse, Chap. 3
<br>W27; Determinants, Chap. 4
<br>W27; Eigenvalue and Eigenvector, Chap. 5
<br>W27; Diagonalizability Chap. 5
<br>W27; Invariant Subspace Chap. 5
<br>W27; Cayley-Hamilton Theorem, Chap. 5
<br>W27; Inner Product and Norm, Chap. 6
<br>W27; Gram-Schmidt Orthogonalization Process, Chap. 6
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<br>Midterm Exam II
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<br>– Part III: Diagonalization and Inner Product Space 
<br>W27; Adjoint of a Linear Operator, Chap. 6
<br>W27; Normal, Self-Adjoint, Unitary, and Orthogonal Operators, Chap.6 
<br>W27; Spectral Theorem, Chap. 6
<br>W27; Bilinear and Quadratic Forms, Chap. 6
<br>W27; Jordan form
<br>W27; Complex Hilbert Space
<br>W27; Final Exam
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<br>教科書
<br>Text Book: Stephen H. Friedberg, Arnold J. Insel, and Lawrence E. Spence, “Linear Algebra,” 4th Edition 
<br>(Prentice- Hall).
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<br>Reference Book: Gilbert Strang, “Introduction to Linear Algebra,” international 5th Edition (Wellesley-
<br>Cambridge Press).
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<br>成績說明
<br>1. Assignments (after every lecture)
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<br>2. In-class Quiz (> 12): 40%; (every Friday morning, 10:10-10:40 AM)
<br>3. Midterm I: 20%; (TBD, To Be Determined)
<br>4. Midterm II: 20%; (TBD, To Be Determined)
<br>5. Final Exam: 20% (TBD, To Be Determined)