Beginner's Guide to LINEAR ALGEBRA

In summary, a beginner's guide to linear algebra provides a comprehensive introduction to the fundamental concepts and techniques of this branch of mathematics. It covers the basics of vectors, matrices, and systems of equations, as well as more advanced topics such as determinants, eigenvalues, and eigenvectors. The guide also includes practical applications of linear algebra in fields such as physics, engineering, and computer science. With clear explanations and examples, it is a valuable resource for anyone looking to understand and apply linear algebra.
  • #1
dekoi
Does anyone have suggestions on an introduction to Linear Algebra? I need a book that covers all or most of these topics in an introductory manner: Systems of linear equations and matrices. Determinants. Vector spaces. Inner product spaces. Eigenvalues and eigenvectors.
 
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  • #2
Please?

.
 
  • #3
I read Shilov's 'Linear Algebra' published by Dover. I consider it cheap and adequate.

 
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  • #5
all books cover that stuff. numerous free ones have been described here. e.g. the one on the website http://www.math.uga.edu/~roy/ is the world's shortest at 15 pages covering far more than those topics.

much better is the one by sharipov.
 
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  • #6
http://joshua.smcvt.edu/linalg.html/

Here's the direct link to the book:
ftp://joshua.smcvt.edu/pub/hefferon/book/book.pdf[/URL]

And here are the answers to all the exercises:
[PLAIN]ftp://joshua.smcvt.edu/pub/hefferon/book/allanswers.pdf[/URL]
 
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1. What is linear algebra?

Linear algebra is a branch of mathematics that deals with the study of linear equations, vectors, matrices, and linear transformations. It is used to solve complex problems in various fields such as engineering, physics, computer science, and economics.

2. Why is linear algebra important?

Linear algebra is an essential tool for understanding and solving problems in various fields such as data analysis, machine learning, computer graphics, and quantum mechanics. It provides a systematic and efficient way to represent and manipulate data, making it a fundamental concept in modern mathematics.

3. What are some key concepts in linear algebra?

Some key concepts in linear algebra include vectors, matrices, systems of linear equations, linear transformations, and eigenvalues and eigenvectors. These concepts are essential for understanding and solving problems in higher-level mathematics and various other fields.

4. How can I improve my understanding of linear algebra?

To improve your understanding of linear algebra, it is important to practice solving problems and working with mathematical concepts. You can also read textbooks, watch online lectures, and participate in study groups or online forums to discuss and clarify any difficulties you may have.

5. What are some real-life applications of linear algebra?

Linear algebra has many real-life applications, such as image and signal processing, data compression, computer graphics, cryptography, and optimization problems. It is also used in engineering, physics, economics, and social sciences to model and solve various problems.

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