MHB What is the annihilator of a tensor in vector space V?

[Sudharaka]

Hi everyone, :)

This is a question I don't understand at all. What is the annihilator in this context? Hope you can help me out with this.

Problem: Find the annihilator of the tensor \(e_1\wedge e_2+e_3\wedge e_4\) in \(V=\left<e_1,\,e_2,\,e_3,\,e_4\right>\).

 

[Sudharaka]

Hi everyone, :)

This is a question I don't understand at all. What is the annihilator in this context? Hope you can help me out with this.

Problem: Find the annihilator of the tensor \(e_1\wedge e_2+e_3\wedge e_4\) in \(V=\left<e_1,\,e_2,\,e_3,\,e_4\right>\).

Hi everyone, :)

I have received an answer to this question on Stack Exchange. I am trying to understand it but due to my limited knowledge of tensor algebra it will take a long time. :p

linear algebra - Annihilator of a Tensor - Mathematics Stack Exchange