Prerequisite of the book "Linear Algebra done right"

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SUMMARY

To effectively study Sheldon Axler's "Linear Algebra Done Right," a foundational understanding of linear algebra is essential, as calculus knowledge alone is insufficient. The discussion recommends starting with more accessible texts such as "Introduction to Linear Algebra" (5th ed) by Gilbert Strang, "Linear Algebra Step by Step" by Kuldeep Singh, or "Linear Algebra" by Lay before tackling Axler's book. Additionally, the videos by 3blue1brown are suggested for intuitive understanding. The text by Friedberg, Insel, and Spence is also noted as a suitable prerequisite.

PREREQUISITES
  • Basic understanding of linear algebra concepts
  • Familiarity with proof-based mathematics
  • Knowledge of matrix operations and properties
  • Exposure to calculus principles
NEXT STEPS
  • Read "Introduction to Linear Algebra" (5th ed) by Gilbert Strang
  • Study "Linear Algebra Step by Step" by Kuldeep Singh
  • Watch linear algebra videos by 3blue1brown for visual learning
  • Explore "Linear Algebra" by Friedberg, Insel, and Spence for a comprehensive foundation
USEFUL FOR

Students transitioning from calculus to linear algebra, educators seeking teaching resources, and anyone aiming to build a solid foundation in linear algebra before approaching advanced texts.

PcumP_Ravenclaw
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Dear Fellows,
I have recently completed the study of Stewart's calculus. Next, I want to read Linear Algebra.

I have bought Sheldon Axler's "Linear Algebra done right" textbook. I want to know if my knowledge of calculus is enough to tackle this book or should I first read from a more basic Linear Algebra textbook before moving on to Axler? If so, please suggest me such a book that can lay the foundation.

Cheers,

-Ravenclaw
 
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Calculous and linear algebra are fairly independent subjects. I don't think you should worry about that. Although I am not familiar with your chosen text, my understanding is that it has a somewhat unusual approach and describes things as operators, rather than tangible matrices. That may leave gaps in your practical knowledge.
 
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Take a look at this: https://www.physicsforums.com/insights/self-study-algebra-linear-algebra
It specifically mentions Friedberg as a pre-req. These books are both looking at linear algebra in a proof-based way as a mathematician would.

For a book that treats linear algebra in a way similar to how Stewart cover's calculus, consider these two:
(1) Introduction to Linear Algebra (5th ed) by Strang.
(2) Linear Algebra step-by-step by Singh
Linear Algebra by Lay is also frequently recommended.

Also, consider watching the brilliant linear algebra videos by 3blue1brown:

These videos brilliantly convey intuition.
 
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i do not recommend axler for you now. it is terse and abstract, and theoretical, and omits some very useful computational aspects. i suggest friedberg, insel and spence, or shilov, or even much easier books.
 
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