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.

Given a set of matrices

$$M = \left\{\begin{bmatrix}1&a\\0&3\end{bmatrix} \mid a \in \mathbb R\right\},$$

what does the notation $A_a^n, n \in \mathbb N$ mean?

share|improve this question
    
Stock question: in what book/paper did you see these? –  J. M. Apr 19 '11 at 16:27
    
A Romanian high-school textbook. –  Paul Manta Apr 19 '11 at 16:29
1  
Your markup was mostly right, but you tried to use curly braces without escaping them. Curly braces are grouping delimiters in $\TeX$, so you need to escape them with a backslash if you mean them literally. Also, it's better to use \mid for the vertical "such that" bar instead of just |, since it's treated as an operator and gives you the appropriate spacing. –  joriki Apr 19 '11 at 16:36
2  
Addendum: bmatrix gives bracketed matrices, which is what you seem to want. –  J. M. Apr 19 '11 at 16:37

1 Answer 1

up vote 4 down vote accepted

$A_a$ seems to be a shorthand for a typical matrix in $M$. Then $A_a^n$ is the $n$-th power of $A_a$.

share|improve this answer
    
Yes, it appears that's what it means. Thanks! –  Paul Manta Apr 19 '11 at 16:35

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.