Can you prove E_{ij}AE_{kl}=a_{jk}E_{il} with the given formula for A?

Thread starter lesliemath
Start date Sep 24, 2011
Tags

Matrix

Click For Summary

To prove E_{ij}AE_{kl}=a_{jk}E_{il}, begin by substituting the provided formula for matrix A into the expression. Focus on the properties of the elementary matrices E_{ij} and E_{kl}, which manipulate specific rows and columns of A. By applying these properties, you can simplify the expression step by step. It’s crucial to understand how these matrices interact with A to derive the desired result. This approach will guide you toward completing the proof effectively.

Sep 24, 2011

lesliemath

matrix -- proving need help!

please help i have no idea how to do this question. please give me some hints :(

Physics news on Phys.org

Sep 24, 2011

Fredrik

Staff Emeritus

Science Advisor

Homework Helper

Insights Author

Gold Member

Part (a) is asking you to show that E_{ij}AE_{kl}=a_{jk}E_{il}, and it's giving you a formula for A. So why don't you start by writing E_{ij}AE_{kl}=, and then use the formula for A that you were given?

Last edited: Sep 24, 2011

Thread 'Distance between a Clock's hands when the distance is increasing most rapidly'

Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

View full post »