國立中央大學一百零一學年度上學期線性代數A班課程網頁
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1/15/2013(二) 1:00PM 期末考，考試範圍：第一章至第四章
12/25 (二) 1:00PM 第三次期中考 ， 考試範圍：3.1-3.4
11/29（四）3:00PM 第二次期中考，考試範圍：2.1-2.5
10/23（二）1:00PM 第一次期中考，考試範圍：1.2-1.6.
Office hour and Office:
黃榮宗老師：鴻經館418，星期一 12:30-1:30 PM ，星期四 1:00 PM - 2:00 PM或另約時間
演習課 (陳抮君助教)：鴻經館116，星期二 12:00 PM - 1:00 PM
課本：
Linear Algebra, 4th Ed., by Friedberg, Insel, and Spence
參考書：
Introduction to Linear Algebra, 4th Ed., by Gilbert Strang
建議習題：
Chapter 1. Vector Spaces
1.1 Introduction
1.2 Vector Spaces 1, 12, 13 15, 18, 19, 20, 21
1.3 Subspaces 1, 8, 10, 12, 18, 19, 22, 23, 30,31 部份建議習題解答
1.4 Linear Combinations and Systems of Linear Equations
1, 3(a), 4(a), (c), 5(g), 9, 10, 11, 12, 14, 15,16 部份建議習題解答
1.5 Linear Dependence and Linear Independence 1, 3, 7,
8, 12, 13, 14, 16, 17, 20
1.6 Bases and Dimension 1, 2(a), 3(a), 5, 10, 13, 14,
15, 21, 22, 28, 29(a), (b), 30, 31, 34, 35 部份建議習題解答
Chapter 2. Linear Transformations and Matrices
2.1 Linear Transformations, Null Spaces, and Ranges 1,
6, 9(a), (c), 11, 12, 14, 21, 23, 25(c), 28, 37, 38
2.2 The Matrix Representation of a Linear Transformation
1, 2(e), (f), (g), 3, 5(c), 8, 9, 10, 13, 15, 16
2.3 Composition of Linear Transformations and Matrix Multiplication
1, 3, 9, 11, 12, 13, 16, 17, 19, 21, 23
2.4 Invertibility and Isomorphisms 1, 2(a), (c), 3, 6,
9, 13, 14, 15, 16, 19(a), 22 部份建議習題解答
2.5 The Change of Coordinate Matrix 1, 2(a), 3(d), 4,
6(a), (c), 7, 9, 10, 11, 12
Chapter 3. Elementary Matrix Operations and Systems of
Linear Equations
3.1 Elementary Matrix Operations and Elementary Matrices
1, 3, 6, 8, 9, 12 部份建議習題解答
3.2 The Rank of a Matrix and Matrix Inverses 1, 2(f),
5(a), (d), (e), 6(a), (c), (f), 7, 14, 15, 17, 21, 22 部份建議習題解答
3.3 Systems of Linear Equations-Theoretical Aspects 1,
2(d), (g), 3(a), (g), 4, 7(a), 8, 9, 10
3.4 Systems of Linear Equations-Computational Aspects
1, 2(a), (f), 3, 4(a), 5, 9, 10, 12, 15 (瞭解其證明即可）
Chapter 4. Determinants
4.1 Determinants of Order 2 1, 7, 8, 9, 10, 11
4.2 Determinants of Order n 1, 2, 3, 4, 5, 23, 28, 29,
30
4.3 Properties of determinants 1, 2,10, 11, 12, 13, 15,
19, 21, 22
4.4 Summary-Important Facts about the Determinant 1, 6
課輔時間：
鴻經館327，星期三 6:30 PM - 9:30PM
評量配分比重：
小考15%; Midterm Exams 45%; Final Exam 40%
授課大綱：
1. Vector spaces
2. Linear Transformations and Matrices
3. Elementary Matrix Operations and Systems of Linear Equations
4. Determinants
5. Diagonalization(if time permits)
小考，期中，期末考解答：
小考一解答
小考二解答
小考三解答
第一次期中考解答
小考四解答
小考五解答
第二次期中考解答
小考六解答
小考七解答
第三次期中考解答
小考八解答
期末考解答