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About this book
This Student Solutions Manual to Accompany Linear Algebra: Ideas and Applications, Fourth Edition contains solutions to the odd numbered problems to further aid in reader comprehension, and an Instructor's Solutions Manual (inclusive of suggested syllabi) is available via written request to the Publisher. Both the Student and Instructor Manuals have been enhanced with further discussions of the applications sections, which is ideal for readers who wish to obtain a deeper knowledge than that provided by pure algorithmic approaches.
Linear Algebra: Ideas and Applications, Fourth Edition provides a unified introduction to linear algebra while reinforcing and emphasizing a conceptual and hands-on understanding of the essential ideas. Promoting the development of intuition rather than the simple application of methods, this book successfully helps readers to understand not only how to implement a technique, but why its use is important.
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Yes, you can access Linear Algebra, Solutions Manual by Richard C. Penney in PDF and/or ePUB format, as well as other popular books in Mathematics & Linear Algebra. We have over one million books available in our catalogue for you to explore.
Information
CHAPTER 1
SYSTEMS OF LINEAR EQUATIONS
1.1 THE VECTOR SPACE OF m × n MATRICES
Problems begin on page 17
EXERCISES
-
- , [3, 0, −3, −6],
- , [9, 72],
- , [ − 1, 0],
- C = A + B.
-
-
- P2 = P5 − P1 − P3 − P4, where Pi is the ith row of P.
- Each vector has a nonzero entry in the positions where the other two vectors have zeros.
- Suppose first that
Then
Equating entries yields the system
From the first equation, x = 0. It then follows from the second equation that y = 0, which is impossible due to the third equation. Thus the independence is proved.
- [1, −1, 0], [1, 0, 0], [2,...
Table of contents
- Cover
- Title page
- Copyright
- STUDENT MANUAL
- CHAPTER 1 SYSTEMS OF LINEAR EQUATIONS
- CHAPTER 2 LINEAR INDEPENDENCE AND DIMENSION
- CHAPTER 3 LINEAR TRANSFORMATIONS
- CHAPTER 4 DETERMINANTS
- CHAPTER 5 EIGENVECTORS AND EIGENVALUES
- CHAPTER 6 ORTHOGONALITY
- CHAPTER 7 GENERALIZED EIGENVECTORS
- CHAPTER 8 NUMERICAL TECHNIQUES
- EULA