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
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Matrix

In summary, the Matrix is a 1999 science fiction movie about a simulated reality controlled by sentient machines. The protagonist, Neo, must fight to free humanity from the Matrix's control. While the concept of a simulated reality has been explored by philosophers and scientists, there is currently no scientific evidence to support its existence. The main characters in the Matrix include Neo, Trinity, Morpheus, and Agent Smith. The red and blue pills symbolize the choice between seeking the truth and remaining ignorant. Matrix Reloaded and Matrix Revolutions are sequels that continue the story and explore deeper themes.

Sep 24, 2011

lesliemath

matrix -- proving need help!

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

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Sep 24, 2011

Fredrik

Staff Emeritus

Science Advisor

Gold Member

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

Last edited: Sep 24, 2011

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

What is the Matrix and why does it need help?

The Matrix is a 1999 science fiction movie that depicts a simulated reality controlled by sentient machines. The "need help" refers to the protagonist, Neo, who discovers the truth about the Matrix and must fight to free humanity from its control.

Is the Matrix based on any real scientific theories?

The concept of a simulated reality or a computer-generated world has been explored by philosophers and scientists, but there is currently no scientific evidence to support its existence. The Matrix is a work of fiction and should not be taken as a representation of real scientific theories.

Who are the main characters in the Matrix?

The main characters in the Matrix are Neo, Trinity, and Morpheus, who are human rebels fighting against the machines, and Agent Smith, a computer program designed to maintain the Matrix. There are also other characters who play important roles in the story, such as Cypher, Oracle, and the Architect.

What is the significance of the red and blue pills in the Matrix?

The red pill represents the truth and knowledge about the Matrix, while the blue pill represents blissful ignorance and conformity to the simulated reality. By choosing the red pill, Neo symbolically chooses to reject the false reality and seek the truth, ultimately leading to his role as the One and the potential to free humanity.

What is the "Matrix Reloaded" and "Matrix Revolutions"?

The Matrix Reloaded and Matrix Revolutions are the sequels to the original Matrix movie. They continue the story of Neo and the human rebellion against the machines, exploring deeper themes of choice, fate, and sacrifice. These movies also introduce new characters and expand the mythology of the Matrix universe.