國立中央大學一百零六學年度上學期線性代數B班課程網頁
宣佈事項：
1/4(四)第十二次小考，考試範圍：Section5.C
12/28(四)第十一次小考，考試範圍：Section5.B
12/21(四)第十次小考，考試範圍：Section5.A (17-23, 25, 30-32)
12/14(四)第九次小考，考試範圍：Section5.A (1-4, 7-9, 11-12, 14-15)
11/30(四)第二次期中考，考試範圍：Section3.A, 3B, 3.C, 3.D及Gaussian elimination
11/28(二)第八次小考，考試範圍：Section3.D
11/16(四)第七次小考，考試範圍：Section3.B, 3.C
11/9(四)第六次小考，考試範圍：Section3.B
M.Ram Murty教授的演講文“How Google Works─搜尋引擎中的線性代數"
11/2(四)第五次小考，考試範圍：Section3.A
10/12(四)第四次小考，考試範圍：Section2.B
10/19(四)第一次期中考，考試範圍：Chpater 1 and Chapter 2
10/5(四)第三次小考，考試範圍：Section2.A
9/28(四)第二次小考，考試範圍：Section1.C
9/21(四)第一次小考，考試範圍：Section1.B及Section1.C (P.18-P.19)
Office hour and Office:
黃榮宗老師：鴻經館418，星期三 1:00-2:00 PM或預約
助教 : 郭昶卲，鴻經館213
課本：
Linear Algebra Done Right, Sheldon Axler, 3rd Ed., Springer, 課本電子書, 課本網頁, 線上課程
參考書：
Linear Algebra, 4th Ed., by Friedberg, Insel, and Spence
課程進度：
Week 1:
9/12: 1.A R^n and C^n
9/14: 1.B Definition of Vector Space
Week 2:
9/19: 1.C Subspaces
9/21: 1.C Subspaces, 2.A Span and Linear Independenece
Week 3:
9/26: 2.A Span and Linear Independenece
9/28: 2.A Span and Linear Independenece
Week 4:
10/3: 2.B Bases
10/5: 2.B Bases, 2.C Dimension
Week 5:
10/10: National holiday, no classes
10/12: 2.C Dimension
Week 6:
10/17: Review for Midterm 1
10/19: Midterm 1
Week 7:
10/24: 3.A The vector space of linear maps
10/26: 3.B Null spaces and Ranges
Week 8:
10/31: 3.B Null spaces and Ranges
11/02: 3.C Matrices
Week 9:
11/07: 3.C Matrices
11/09: 3.D Invertibility and isomorphic vector space
Week 10:
11/14: 3.D Invertibility and isomorphic vector space
11/16: Gaussian elimination
Week 11:
11/21: Gaussian elimination
11/23: 運動會, no classes
Week 12:
11/28: Review for Midterm 2
11/30: Midterm 2
Week 13:
12/05: 5.A Invariant subspaces
12/07: 5.B Eigenvectors and upper-triangular matrix
Week 14:
12/12: 5.B Eigenvectors and upper-triangular matrix
12/14: 5.B Eigenvectors and upper-triangular matrix
Week 15:
12/19: 5.C Eigenspaces and diagonal matrices
12/21: 5.C Eigenspaces and diagonal matrices
Week 16:
12/26: 5.C Eigenspaces and diagonal matrices
12/28: Review for Final
Week 17:
1/2: Review for Final
1/4: Review for Final
Week 18:
1/9: Final
評量配分比重：
小考20%(最低二次不採計)+第一次期中考25%+第二次期中考25%+期末考30%
授課大綱及建議習題：
Chapter 1. Vector spaces
1.A R^n and C^n
1.B Definition of Vector Space 1, 2, 4, 5, 6
1.C Subspaces 1-12, 15-21, 23, 24
Chapter 2. Finite-dimensional vector spaces
2.A Span and Linear Independence 1-13
2.B Bases 2-8
2.C Dimension 1-9, 11-13, 15, 17
Chapter 3. Linear maps
3.A The vector space of linear maps 1-11, 13, 14
3.B Null Spaces and Ranges 1-6, 9-15, 17-19, 22, 23, 29, 31
3.C Matrices 2-12
3.D Invertibility and isomorphic vector space 1-3, 7-15, 18, 19(a)
Gaussian elimination
Chapter 4. Polynomials
Chapter 5. Eigenvalues, eigenvectors, and invariant subspaces
5.A Invariant subspaces 1-4, 7-9, 11-12, 14-15, 17-23, 25, 30-32
5.B Eigenvectors and upper-triangular matrices 1-5, 8-10, 12, 14, 15, 20
5.C Eigenspaces and diagonal matrices 1, 2, 3, 6, 8-16
習題解答
舊課程網頁：
一百零一學年度上學期線性代數一課程網頁
一百零一學年度下學期線性代數二課程網頁