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King Abdulaziz University.
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Department of Mathematics.
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Faculty of science and Arts - Rabigh
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Second Semester 1431-1432.
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Math 241 Syllabus
Textbook: Larson, Falvo, "Elementary Linear Algebra",
6 th Edition, (2010).
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HWs
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Lectures
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Exercises
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Examples
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Section Title
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Chapter Title
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, 7-14 4
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5, 15, 29
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1-7
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2.1
Operations with Matrices
(1 H)
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Chapter 2
Matrices
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8, 10, 23, 25, 27
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7, 9
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2-5, 7-10
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2.2
Properties of Matrix Operations
(1 H)
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23-35 (odd)
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2-9
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1.2 (Chapter 1)
Gaussian Elimination and Gaussian-Jordan Elimination
(3 H)
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4, 10, 26, 28
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3, 27
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3-8
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2.3
The Inverse of a Matrix
( 2 H)
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5, 6, 16, 23, 29
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2-7
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2.4
Elementary Matrices
(2 H)
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HWs
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Lectures
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Exercises
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Examples
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Section Title
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Chapter Title
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5, 11, 16, 20, 25
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21, 26
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1-6
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3.1
The Determinant of a Matrix
(1 H)
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Chapter 3
Determinants
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3, 9, 22, 26, 32, 35
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21
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1-6
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3.2
Evaluation of Determinant Using Elementary Operations
(2 H)
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4, 13, 17, 30, 41
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3, 14
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1-6
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3.3
Properties of Determinants
( 1 H)
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1, 3, 5, 18, 28, 31
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27
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1-4
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3.5
Applications of Determinants
(1 H)
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30, 39, 48-50
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47
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1-6
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4.1
Vectors in Rn
(2 H)
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Chapter 4
Vector Spaces
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23
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1-8
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4.2
Vector Spaces
(2 H)
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1, 3, 4
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2
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1, 3, 4, 6-8
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4.3
Subspaces of Vector Spaces
( 2 H)
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1-3, 23, 29, 31, 33
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1-13
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4.4
Spanning Sets and linear Independence
(4 H)
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7-9, 16-17, 45, 49, 51
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1-7, 9-12
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4.5
Basis and Dimension
(4 H)
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27, 33, 37
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7
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1-9
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4.6
Rank of a Matrix and Systems of Linear Equations
(4 H)
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8,9,15,17,29
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1 -6
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4.7
Coordinates and change of basis
(2H)
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HWs
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Lectures
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Exercises
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Examples
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Section Title
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Chapter Title
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5, 9, 15, 17, 30, 35-38
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10, 39
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1-10
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5.1
Length and Dot Product in Rn
(2 H)
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Chapter 5
Inner Product Spaces
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5-9, 14, 19, 21, 30, 37, 49-51, 60, 66, 68
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4, 11
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1-9
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5.2
Inner Product Spaces
(2 H)
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1, 7, 13, 20, 30-33, 41
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1-4, 6-10
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5.3
Orthonormal Bases: Gram-Schmidt Process
( 2 H)
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4-6, 12, 17, 23, 38, 56
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3, 11
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1-3, 4-6, 8, 10, 11
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6.1
Introduction to Linear Transformations
(2 H)
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Chapter 6
Linear Transformations
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2, 3, 11, 14, 19, 21
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4, 12
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3-9
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6.2
The Kernel and Range of a Linear Transformation
(2 H)
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3, 11-13
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6
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1, 2, 4-6
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6.3
Matrices for Linear Transformations
( 2 H)
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1-3, 9, 11, 13
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1-5
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6.4
Transition Matrices and Similarity
(2 H)
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2, 5, 15, 17, 21, 23, 24
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1-8
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7 .1
Eigenvalues and Eigenvectors
(2 H)
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Chapter 7
Eigenvalues and Eigenvectors
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1-3, 6, 12, 14, 22
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4, 5
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1-6
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7 .2
Diagonalization
(1 H)
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1, 4, 15, 17
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17
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1-6
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7 .3
Symmetric Matrices and Orthogonal Diagonalization
( 1 H)
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