Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.
To get the free app, enter your mobile phone number.
Other Sellers on Amazon
+ $3.99 shipping
+ $3.99 shipping
+ $3.99 shipping
Matrices and Transformations (Dover Books on Mathematics) Paperback – June 1, 1978
See the Best Books of 2017 So Far
Looking for something great to read? Browse our editors' picks for the best books of the year so far in fiction, nonfiction, mysteries, children's books, and much more.
Frequently bought together
Customers who bought this item also bought
If you are a seller for this product, would you like to suggest updates through seller support?
Top customer reviews
The final chapter, titled Eigenvalues and Eigenvectors, was a bit too concise, touching too briefly on more complicated topics like diagonalization of matrices, Hamilton-Cayley Theorem, and quadratic forms. I recommend working through the fourth chapter (this is a short book) rather quickly to get a basic understanding, but then moving to more detailed treatments of eigenvalues and related topics elsewhwere. As a follow-up, I recommend another Dover edition - An Introduction to Matrices, Sets, ad Groups for Science Students. However, this text assumes substantial familiarity with manipulation of determinants.
All in all, this book is a good buy and a good starting point for studying matrices.
I bought this book back in 1983 when I during engineering education started to having more to do with Matrices for example Eigenvalues (were Eigenvalue is from Germany, and meaning Own value). I bought it because I didn't like the book we used in the university. But after the education I still bought books concerning Matrices, and Determinants, among other caused by programming a Robots, where we have a 4*4 Matrix for each movable part of its arm and hand. And later during more Economic studying, where we often, like with Robots can end with very big total Matrices. It's an excellent book, one of those which are good to lend to a person quite new in Matrices.
The contents in the book:
1-1 Definitions of Elementary Properties 1
1-2 Matrix Multiplication 6
1-3 Diagonal Matrices 13
1-4 Special Real Matrices 15
1-5 Special Complex Matrices 19
2 Inverses and Systems of Matrices
2-1 Determinants 22
2-2 Inverse of a Matrix 28
2-3 Systems of Matrices 35
2-4 Rank of a Matrix 41
2-5 Systems of Linear Equations 46
3 Transformation of the Plane
3-1 Mappings 51
3-2 Rotations 53
3-3 Reflections, Dilations, and Magnifications 58
3-4 Other Transformations 63
3-5 Linear Homogeneous Transformations 66
3-6 Orthogonal Matrices 68
3-7 Translations 71
3-8 Rigid Motion Transformations 76
4 Eigenvalue and Eigenvectors
4-1 Characteristic Function 83
4-2 A Geometric Interpretation of Eigenvectors 87
4-3 Some Theorems 89
4-4 Diagonalization of Matrices 92
4-5 The Hamilton-Cayley Theorem 97
4-6 Quadratic Forms 101
4-7 Classification of the Conics 103
4-8 Invariants of Conics 109
Answers to Odd-Numbered Exercises 114
As the number of Answers to Odd-number Exercises we are having a total of 130.
On the starting side, for starting on explaining Matrixes we get the following Matrix (here, by me, not a perfect drawing, as it's only for Determinants that we use such a straight line sides):
Electric Standard Portable
model model model
Units of material | 20 17 12 |
Units of labor | 6 8 5 |
In the book we gets 17 small figures, and to me, especially the geometrical drawings showing the changing in the figures, as on the front page, or rotation, or repositioning, in the co-ordinates, to me, are helpful.
And in the book the Matrix and Determinant figures probably are covering more area than the text.