Which Books Can Help Clarify Chapter 3 of Linear Algebra in Boas?

In summary, the speaker is looking for a clearer explanation of linear algebra, particularly in the areas of distances between planes and matrices. They suggest reading "A Survey of Modern Algebra" and "Stewart's calculus book" for a better understanding of vectors and matrices, respectively. They also recommend finding a book specifically on matrix algebra for further clarification.
  • #1
WiFO215
420
1
I find that Chapter 3(Linear Algebra) in Boas is not very clear in certain areas. Could someone please recommend a book which does so more clearly?
 
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  • #2
'A Survey of Modern Algebra' by Garrett Birkhoff and Saunders Mac Lane has a really good treatment of linear algebra. Anything particular that you didn't find clear in Boas' treatment, or the whole topic of linear algebra?
 
  • #3
She uses vectors to find distances between planes and such. Example given a plane 3x + 4y + 5z she immediately says the vector perpendicular to this plane is such and such. I don't know how she gets that.

Distance between lines, planes, parametric equations et. al. are not too clear.

Matrices could have been done with a little more depth. The different types of matrices are over in a flash.
 
  • #4

1. What is the purpose of chapter discussions in Boas?

The purpose of chapter discussions in Boas is to facilitate critical thinking and deeper understanding of the key concepts and ideas presented in each chapter. It also allows for the exchange of ideas and perspectives among students and provides an opportunity for further clarification and elaboration on complex topics.

2. How are chapter discussions typically structured in Boas?

In Boas, chapter discussions are typically structured around a set of discussion questions or prompts provided by the instructor. These questions may focus on key themes, arguments, or theories presented in the chapter, and are designed to guide the discussion and encourage critical thinking.

3. What are the benefits of participating in chapter discussions in Boas?

Participating in chapter discussions in Boas has several benefits, including improving critical thinking skills, enhancing understanding of complex concepts, and promoting active learning. It also allows for the development of communication and collaboration skills through the exchange of ideas and perspectives with classmates.

4. How can students prepare for chapter discussions in Boas?

To prepare for chapter discussions in Boas, students should thoroughly read and take notes on the assigned chapter. They should also review any discussion questions or prompts provided by the instructor and come to class ready to actively participate in the discussion by sharing their thoughts, asking questions, and engaging with their classmates.

5. Are chapter discussions in Boas graded?

The grading of chapter discussions in Boas may vary depending on the instructor's preferences. Some may choose to assign a participation grade based on the student's level of engagement and contribution to the discussion, while others may include chapter discussions as part of a larger assignment, such as a paper or exam. It is important to check the course syllabus or ask the instructor for clarification on the grading criteria for chapter discussions.

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