Lay Conversion Guide:
Key Content Changes
Linear Algebra and Its Applications, Updated 2/e
to
Linear Algebra and Its Applications, 3/e
The table of contents for this edition is substantially the same as that of the previous edition. Some minor changes have been made throughout the book to improve clarity and coverage. The major content changes are the following:
• Section 1.6, Applications of Linear Systems, is new to the 3/e. It includes applications on the Leontief Economic Model, Solving Chemical Equations, and Traffic Flow.
• Section 2.6 from the Updated 2/e, Iterative Solutions of Linear Systems, has been removed from the 3/e.
• Section 2.9 from the Updated 2/e, Subspaces of Rn, has been has been split into two sections, 2.8 and 2.9. This forms a better bridge to Chapter 5 for those instructors who wish to cover Eigenvalues earlier in the course, or postpone or omit vector spaces. This option is ideal for a shorter course.
|
Section |
Linear Algebra, Updated 2/e |
Section |
Linear Algebra,3/e |
|
Chapter 1 |
Linear Equations in Linear Algebra |
Chapter 1 |
Linear Equations in Linear Algebra |
|
1.1 |
Systems of linear Equations |
1.1 |
Systems of Linear Equations |
|
1.2 |
Row Reduction and Echelon Forms |
1.2 |
Row Reduction and Echelon Forms |
|
1.3 |
Vector Equations |
1.3 |
Vector Equations |
|
1.4 |
The Matrix Equation |
1.4 |
The Matrix Equation |
|
1.5 |
Solution Sets of Linear Systems |
1.5 |
Solution Sets of Linear Systems |
|
|
|
1.6 |
Applications of Linear Systems |
|
1.6 |
Linear Independence |
1.7 |
Linear Independence |
|
1.7 |
Introduction to Linear Transformations |
1.8 |
Introduction to Linear Transformations |
|
1.8 |
The Matrix of a Linear Transformation |
1.9 |
The Matrix of a Linear Transformation |
|
1.9 |
Linear Models in Business, Science, and Engineering |
1.10 |
Linear Models in Business, Science, and Engineering |
|
Chapter 2 |
Matrix Algebra |
Chapter 2 |
Matrix Algebra |
|
2.1 |
Matrix Operations |
2.1 |
Matrix Operations |
|
2.2 |
The Inverse of a Matrix |
2.2 |
The Inverse of a Matrix |
|
2.3 |
Characterizations of Invertible Matrices |
2.3 |
Characterizations of Invertible Matrices |
|
2.4 |
Partitioned Matrices |
2.4 |
Partitioned Matrices |
|
2.5 |
Matrix Factorizations |
2.5 |
Matrix Factorizations |
|
2.6 |
Iterative Solutions of Linear Systems |
||
|
2.7 |
The Leontief Input-Output Model |
2.6 |
The Leontief Input-Output Model |
|
2.8 |
Applications to Computer Graphics |
2.7 |
Applications to Computer Graphics |
|
2.9 |
Subspaces of Rn |
2.8 |
Subspaces of Rn |
|
|
|
2.9 |
Dimensions and Rank |
Chapter structure remains the same in Chapters 3 through 7.