A difficult problem about linear algebra.Help

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In summary, linear algebra is a branch of mathematics that deals with systems of linear equations and their representations in vector spaces. It is important because it is used in various fields such as engineering, computer science, physics, and economics. Linear algebra problems can be difficult due to complex calculations and abstract concepts, but they can be approached by breaking them down into smaller, manageable steps and using appropriate techniques and algorithms. Resources such as textbooks, online tutorials, and seeking help from teachers or tutors are available to assist with difficult problems. To improve skills in solving difficult linear algebra problems, regular practice and seeking feedback can be beneficial.
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A difficult problem about linear algebra.Help!

Suppose that A is a m*n matrix,B is a n*m matrix,and AB is a idempotent matrix.
Please verify that BA is also a idempotent matrix.
 
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Do you know what an idempotent matrix is? Where are you getting stuck?
 

Related to A difficult problem about linear algebra.Help

1.

What is linear algebra and why is it important?

Linear algebra is a branch of mathematics that deals with systems of linear equations and their representations in vector spaces. It is an essential tool in many fields, including engineering, computer science, physics, and economics.

2.

What makes linear algebra problems difficult?

Linear algebra problems can be challenging because they often involve complex calculations and abstract concepts. They require a strong understanding of mathematical principles and the ability to think abstractly and logically.

3.

How can I approach a difficult linear algebra problem?

The key to solving a difficult linear algebra problem is to break it down into smaller, more manageable steps. Start by understanding the problem and identifying any relevant concepts or theorems. Then, use the appropriate techniques and algorithms to solve the problem step by step.

4.

What resources are available to help me with difficult linear algebra problems?

There are many resources available to help with difficult linear algebra problems, such as textbooks, online tutorials, and practice problems. Additionally, seeking help from a teacher or tutor can be beneficial in understanding difficult concepts.

5.

How can I improve my skills in solving difficult linear algebra problems?

Practicing regularly is the best way to improve your skills in solving difficult linear algebra problems. Make sure to understand the underlying concepts and techniques, and practice applying them to a variety of problems. Additionally, seeking feedback from teachers or peers can help identify areas for improvement.

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