Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

could any one tell me what is translation? and if a $n\times n$ matrix $A$ commutes with all translation then must it be a circulant matrix? first please tell me the meaning of the question and then explain, please help, it was a question from a past year quals.thank you.

share|improve this question
    
Does "the question" refer to the second of your two questions? –  joriki Feb 3 '13 at 19:09

1 Answer 1

Here a "translation" means a circulant shift operator of the form $$(x_1,\ldots,x_n)^T \mapsto (x_{k+1},\ldots,x_n,x_1,x_2,\ldots,x_k)^T$$ for some $k$.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.