Introduction to linear algebra

In summary, the problem asks to prove that u(z+zw)={+1,-1,+w,-w,+w^2,-w^2}. However, the conversation suggests that there may be missing information or context, making it difficult to provide a proper proof.
  • #1
abs1
4
0
prove that u(z+zw)={+1,-1,+w,-w,+w^2,-w^2}
 
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  • #2
abs said:
prove that u(z+zw)={+1,-1,+w,-w,+w^2,-w^2}

You may as well ask us to prove that if the sky is green then faeces smell like roses...
 
  • #3
Prove It said:
You may as well ask us to prove that if the sky is green then faeces smell like roses...

If the sky is green, then a storm is coming.
If the storm comes, many things will be blown away, including faeces and roses. This, in turn, makes their smells mixed up.

Sorry, couldn't resist.
 
  • #4
abs said:
prove that u(z+zw)={+1,-1,+w,-w,+w^2,-w^2}
Seriously, there must be more to this problem. What are you told about "u"?
 

FAQ: Introduction to linear algebra

What is linear algebra?

Linear algebra is a branch of mathematics that deals with systems of linear equations and their representations in vector spaces. It involves the study of vectors, matrices, and linear transformations, and their properties and operations.

Why is linear algebra important?

Linear algebra is important because it provides a powerful framework for solving problems in various fields such as physics, engineering, computer science, and economics. It is also the foundation for more advanced mathematical concepts and techniques.

What are the applications of linear algebra?

Linear algebra has many applications in real-world problems, such as image and signal processing, data analysis, machine learning, and optimization. It is also used in computer graphics, cryptography, and quantum mechanics.

What are the basic concepts in linear algebra?

The basic concepts in linear algebra include vectors, matrices, linear transformations, vector spaces, eigenvalues and eigenvectors, and systems of linear equations. These concepts are essential for understanding more advanced topics in linear algebra.

How can I learn linear algebra?

There are many resources available for learning linear algebra, such as textbooks, online courses, and video tutorials. It is important to have a strong foundation in algebra and basic mathematical concepts before diving into linear algebra. Practice and solving problems is also crucial for understanding the concepts and their applications.

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