Linear Algebra by Benjamin McKay
About this book :-
This textbook explains the basic ideas of linear algebra in a clear and careful way. These notes are drawn from lectures given for a first year introduction to linear algebra. The prerequisites for this course are basic arithmetic and elementary algebra, typically learned in high school, and some comfort and facility with proofs, particularly using mathematical induction. It provide the complete proof of the spectral theorem. Problems appear throughout the text, which you must learn to solve. They often provide vital results used in the course. Most of these problems have hints, particularly the more important ones. There are also review problems at the end of each section, and you should try to solve a few from each section.
It’s best for college students studying math, science, or engineering. The book focuses more on understanding how and why things work, instead of just showing how to do calculations. It talks about things like vectors, matrices, and how to work with them. This book is a good choice for students who want to really understand the subject deeply.
Book Detail :-
Title:
Linear Algebra by Benjamin McKay
Publisher:
University College Cork
Year:
2008
Pages:
263
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
License:
Linked Content Owned by Author
Amazon:
Amazon
About Author :-
The author
Benjamin McKay
is professor at School of Mathematical Sciences, University College Cork, Cork, Ireland who specializes in differential geometry. He has written clear and detailed lecture notes on linear algebra that cover important topics like vector spaces, linear transformations, and eigenvalues.
Book Contents :-
Part-I Matrix Calculations
1. Solving Linear Equations
Part-II Matrices
2. Inverses of Matrices
3. Matrices and Row Operations
4. Find the INverse of a Matrix
5. The Determinnets
6. The Determinents via Elimination
7. PartIIBases and SubSapces
8. Span
9. Bases
10. Kernel and Image
Part-III Eigenvectors
11. Eigenvalues and EigenVectors
12. Bases of Eigenvectors
Part-IV Orthogonal Linear Algebra
13. Inner Product
14. The Spectral Theorem
15. Comlex Vectors
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